Correct answers 1 question Solve the differential equation x(y^2 1)^1/2 dxy(x^21)1/2 dy=0They give you the integrating factor is x2, so multiply the whole equation by said factor to get (1y 2 /x 2)dx (12y/x )dy = 0 Now, check for exactness again, dM/dy = dN/dx (these should be partial derivatives) dM/dy = 2y/x 2 dN/dx = 2y/x 2 Therefore this equation is now exact, and solve it like you would any other exact equationGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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(x^2 y^2 1)dx x(x-2y)dy=0 differential equation-Solving Homogeneous Differential Equation The solution of the differential equation x 2 y 2 x d y2 ( x 2 y 2 − 1) d y 2 x y 3 d x = 0 Let X = x 2 which leads to ( X y 2 − 1) d y y 3 d X = 0 y 3 d X d y y 2 X = 1 Considering the unknown function X ( y), this is a linear ODE It is easy to solve it The general solution is X ( y) = c y − 1 y 2 y 2 X − c y 1 = 0



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Question 72 X(y 1)dx Ydy=0 Ixydx (x^2 Y^2 )dy=0 I(2x^3 Xy^22y3)dx (x^2y2x)dy=0 Given The Following Differential Equations Ivy(xy 1)dx X(x 3y 2)dy=0 Vyl6y^2 X 1)dx 2xdy=0 Vi(x2y4)dx(2xy5)dy=0 Viiydx (3x Xy 2)dy=0 The Differential Equation(s) That Can Be Solved By Homogeneous FunctionsThis is a tutorial about Exact Differential Equation of (x2y)dx 2(yx)dy=0Note we set (x2y) as our M and 2(yx)The ODE is homogeneous ODE of order one This is because the coefficients of dx and dy are both homogeneous two variables functions of the same order I suggest you write the ODE as y′ = 32t2t2−t−2 = f (t), (x = 0,t = y/x) Find the solution of (xy^22x^2y^3)dx (x^2yx^3y^2)dy=0
It is linear differential equation Divide both side by 2 and you will get the required formwhich is dy/dx Py = Q where P and Q are functions of x or constants Here P = x^2/2 , Q = (2x 3)/2 Now to solve first calculate Integrating factor1 Answer 1 vote answered Mar 13 by Takshii (346k points) selected Mar 13 by Yaad Best answer Given √1 x2 y2 x2y2 xy dy dx = 0 1 x 2 y 2 x 2 y 2 x y d y d x = 0 By simplifying the equation, we get Now, substituting these value of t and m, we getClick here👆to get an answer to your question ️ Solve x^2y dx (x^3 y^3) dy = 0 Join / Login >
Simple and best practice solution for (x^22y^23xy)dxx(x2y)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve itTranscribed image text Solve the following differential equations 1 (xy 1)dx x(x 4y 2)dy = 0 6 (x y 1)dx (2x 2y 1)dy = 0 2 (2y2 3xy 2y 6x)dx x(x 2y 1)dy = 0 7 fxcos(?) y dx xdy = 0, y(1) = 3 (xy x)dx = (x2y2 x2 y2 1)dy 8 (x y)dx (3x y)dy = 0, when x = 3, y =We can rearrange this Differential Equation as follows dy dx = 2x y 2y − x = 2x y 2y − x ⋅ 1 x 1 x = 2 (y x) 2( y x) −1 So Let us try a substitution, Let v = y x ⇒ y = vx Then dy dx = v x dv dx And substituting into the above DE, to eliminate y



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Solve the following differential equation √(1 x^2 y^2 x^2y^2) xy(dy/dx) = 0 asked in Mathematics by Samantha ( 3k points) differential equationsHow to solve for the general solution of the following differential equation (x^2y^2 1) dx x (x 2y) dy = 0 using an integrating factor Quora Ad by Angular Fitness The Rock admits this was the best decision he ever made The big companies don't want you to know his secretsHow to solve the differential equation (2xy^2y){dx}(y^2xy){dy}=0?




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Solve the differential equation `xy dy/dx = x^2 2y^2`X^2dx = y(x1) dy;=>(x^2 )/(x1) dx = y dy;=>F = x 2 y − x 3 f ( y) → Equation (1) Differentiate partially in y, holding x as constant ∂ F ∂ y = x 2 f ′ ( y) Let ∂ F ∂ y = N x 2 f ′ ( y) = x 2 y f ′ ( y) = y Integrate partially in y, holding x as constant ∫ f ′ ( y) = ∫ y ∂ y



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Solve the differential equation x(1 – x^2)dy (2x^2y – y – 5x^3)dx = 0 asked in Differential equations by KumariMuskan ( 339k points) differential equationsBut if I expand the bracket $(xy)^2$ before integrating I will get $$\varnothing_1=\int Mdx=\int (xy)^2dx=\int (x^22xyy^2)dx=\frac{x^3}{3}xy^2x^2y$$ Wich will lead to the solution $$\varnothing=\varnothing_1\varnothing_2=\frac{x^3}{3}xy^2x^2yy=Constant$$ What is the wrong step ?Solution of the differential equation y(xy 2x2y2)dx x(xy x2y2)dy = 0 is given by (A) 2 logxlogy(1/xy)=C (B) 2 logylogx(1/xy)=C 2




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Question 4 SURVEY 30 seconds Q The differential equation 3 ( y 4 1) d x 4 x y 3 d y = 0 3\left (y^4\ 1\right)dx\ 4xy^3dy\ =\ 0 3(y4 1)dx 4xy3dy = 0 has an integrating factor equals to answer choices 12 y 3Integrate both sides ∫ dy y = ∫x2dx ⇒ ln(y) = x3 3 C Solve for y y = ex3 3 C = ex3 3 (eC) = Cex3 3This is short video, Math Escape!




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12 x(y 1)dx ydy=0 iixydx (x^2 y^2 )dy=0 iii(2x^3 xy^22y3) dx (x^2 2x)dy=0 iven the following differential equations ivy(x y 1)dx x(x 3y 2) dy=0 vy(6y^2 x1)dx 2 xdy=0 vi(x2y 4)dx (2x / 5)dy=0 viydx (3x xy 2)dy = 0 The differential equation(s) that can be solved by Coefficient Linear in 2 Variables A vil Bii vi iv E v F iii Question 2 12 x(y 1Example 15 Show that the differential equation (𝑥−𝑦) 𝑑𝑦/𝑑𝑥=𝑥2𝑦 is homogeneous and solve it Step 1 Find 𝑑𝑦/𝑑𝑥 (𝑥−𝑦) 𝑑𝑦/𝑑𝑥=𝑥2𝑦 𝑑𝑦/𝑑𝑥=((𝑥 2𝑦)/(𝑥 − 𝑦)) Step 2 Put F(𝑥 , 𝑦)=𝑑𝑦/𝑑𝑥 &Answered by paayal (147k points) selected by Vikash Kumar Best answer (1 y x2y)dx (x x3)dy = 0 ⇒ x (1 x2) dy = – 1 y (1 x2)dx It is a linear differential equation Please log in or register to add a comment




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Ex 96, 11 For each of the differential equation find the general solution 𝑦 𝑑𝑥 𝑥− 𝑦2𝑑𝑦=0 Step 1 Put in form 𝑑𝑦𝑑𝑥 Py = Q or 𝑑𝑥𝑑𝑦 P1 x = Q1, y dx (x − y2) dy = 0 y dx = − (x − y2)dy 𝑑𝑦𝑑𝑥 = −𝑦𝑥− 𝑦2 This is not of the form 𝑑𝑦𝑑𝑥 Py = Q ∴ we findNote that mathy'=\dfrac{x^2y^21}{x(2yx)}/math The substitution mathu=(2yx)^2/math transforms this to a linear DE math\begin{align*}u' &= 2(2yx)(2y'1Solve the differential equation x(y1) dx(x1)dy=0 If y=2 when x=1 A 180;




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Find F(𝜆𝑥 ,𝜆𝑦) 𝑑𝑦/𝑑𝑥=((𝑥 2𝑦)/(𝑥 − 𝑦)) Put F(𝑥 , 𝑦)=((𝑥The differential equation is separable, so first isolate all of the x's on one side, and the y's on the other Then take the antiderivative of each side The left side requires a simple usubstitution, and don't forget to include the constant of integration Plug in the initial condition of (0,1EQUATIONS (x^2 y^2) dx x (3x^2 5y^2) dy = 0 The equation is not linear The equation does not have an integrating factor that is a function of x alone The equation does not have an integrating factor that is a function of y alone Wala pa akong nakitang solution Kung meron ka na, pease share




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Closed How to solve the differential equation (2 x y 2 =\frac{x^3}{3}\frac{y^3}{3}xy^2x^2yC_1(y)\\ \varnothing_2=\int Ndy=\int (2xyx^21)dy=xy^2x^2yyC_2(x) The expansion is not wrong The solution after the expansion is correctStack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeExplanation The given Diff Eqn dx x2 x dy y2 y = 0, with Initial Condition (IC) y(2) = 1 It is a Separable Variable Type Diff Eqn, &, to obtain its General Solution (GS), we integrate termwise ∴ ∫ dx x(x 1) ∫ dy y(y 1) = lnc ∴ ∫ (x 1) −x x(x 1) dx ∫ dy y(y 1




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Then I try to reduce the given eq to exact differential equation by finding Integrating Factor (IF) IF = 1 M x − N y Then I multiplied IF with given equation to convert it into exact differential equation After, I tried to check the condition ∂ M ∂ y = ∂ N ∂ x but I got ∂ M ∂ y ≠ ∂ N ∂ xQuestion 12x(y 1)dx Ydy=0 Lixydx (x^2 Y^2) Dy=0 (2x^3 Xy^22y3)dx x^2y2x)dy=0 Given The Following Differential Equations Ivy(x Y 1)dx X(x 3y 2)dy=0 Vy(6y^2 X 1)dx 2 Xdy=0 M(x 2y 4)dx (2x Y5)dy = 0 Viydx (3x Xy 2)dy=0 The Differential Equation(s) That Can Be Solved By Integrating Factor A Vii BContinuity and Differentiability Hope you found this question and answer to be good Find many more




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Solve the differential equation (xy^2 x^2) dx (3x^2y^2 x^2y2x^3y^2) dy =0 How to Finish Assignments When You Can't Crunch time is coming, deadlines need to be met, essays need to be submitted, and tests should be studied forY dx x dy x2y dy = 0 Zigya App The solution of the differential equation ydx (x x 2 y) dy = 0 is1/ XY =C1/XY log y = C 1/XY log y = C log y =Cx B 1/XY log y = C y dx x dy x 2 y dy = 0 168 Views Flag;Solve the differential equation (x^2 y^2)dy/dx = 2xy given that y = 1, x = 1 asked in Differential equations by AmanYadav ( 556k points) differential equations



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Homogeneous Differential Equation (y^2 yx)dx x^2dy = 0If you enjoyed this video please consider liking, sharing, and subscribingYou can also help supporLearn how to solve differential equations problems step by step online Solve the differential equation dy/dx=(x^2y^2)/(1x) Group the terms of the differential equation Move the terms of the y variable to the left side, and the terms of the x variable to the right side Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to xSubstitute dy/dx withy' It is a first order separable Ordinary diffEquation of the form




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