dy у-х dx y+x dy – x² + 2y² 2xy dx %|

Q: Solve the following 2nd order differential equations: d²y 2 dx2 dy (i) 11 + 12y = 3x – 2 dx - d²y 2…

A: Given differential equation is: 2y''-11y'+12y=3x-2 Auxiliary equation corresponding to differential…

Q: Solve the following separable differential equations: a. xy'+ 3y = 0, if y(1) = -3 b. yy +x = 1, if…

A: We have to solve

Q: , solve the following implicit ordinary differential equations. 3x2y + e sec2 (xy) y' = - y , y (0)…

A: A detailed solution is given below.

Q: Solve the following differential equations of 2-x'y'y' + xy' = 1 x' +y 1- yy' = 2y – x; dy 3– 2xyy'…

A: To solve the given differential equation we use the substitution y=vx

Q: (D² – 3D+2) y = e 1te#= 1+e2

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Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx =…

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Q: Solve the following differential equations. ydx+xdy=o 3. x² + 2y dx=(3-Inx² )dy 1. dy _x Y+1…

A: we have to solve the given differential equation    Since you have posted a question with multiple…

Q: (2x +3y) dx + (y +2) dy = 0

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Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: 2. Solve the following First Order Differential Equations: dy (a) + 2y = 1 dt (b) dr dy _ y² – 1 x²…

A: a)      dydt + 2y = 1 Compare it with the equation dydt + Py = Q Hence    P = 2 , Q = 1 Integrating…

Q: Solve the following homogeneous differential equations. 2y*+x+ y' = хуз 2x2 = 3xy + y²; when y(1) =…

A: To solve the given homogeneous differential equations.

Q: (x2 – y?)dy – 2xydx = 0 Ans: x² + y? = cy

A: If the right-hand side of the differential equation dydx=f(x,y), satisfy the condition…

Q: Solve the following differential equations properly 13. y(x² + xy – 2y²)dx + x(3y² – xy -x²)dy = 0;…

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Q: Solve the following differential equations properly. a. xdx + (ydx - xdy) cos y/x = 0 ; when x = 1…

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Q: +16y =0 dx a) -5y = 0, y(1)=0, y'(1)=2 dt b)

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Q: Find the solution of the following differential equations Homogeneous Differential Equations xdy +…

A: To solve the homogeneous equation, use the separation of variables. For that first, make the…

Q: Solve the following differential equations.  x y (dx-dy) = x^2dy + y^2dx; when x = 2, y = 0

A: Let's find.

Q: 1. Solve the following differential equations using variation of parameter Method: d²y d²y d²y 3.…

A: Given differential equation is d2ydx2+udydx+uy = 0

Q: dx -8y=0 dx d'y ,d'y d'y dy +35 dx dx' dx dx -0, y(0) =y'(0)=0, y"(0) =y"(0)=1 d)

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Q: Solve the following Pfaffian differential equation (x²y – y3 – y2z)dx + (xy² – x³ – x³y)dy + (xy² +…

A: Substitute the values of x and y in the given differential equation and hence find its general…

Q: Solve the following differential equations: dy 1. + ysin x= xe 2. (x +1)+ 2xy = 4x dy 3. -2e dx dy…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved questions…

Q: Solve for the particular solution of the following differential equations that satisfies the initial…

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Q: Determine the particular solution of the first order linear differential equations dy + x[x? – x +…

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Q: Solve the following non-homogeneous second order differential equation, by the method of variation…

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Q: Q1: Find the solution of the following Differential Equations d²y 1. + y = 6e* + 6 cos(x) dx2 d?y 2.…

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Q: dy_x-y (е)- dx x+у

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0 B.…

A: Topic:- application of integration and differential equations Note :- as per our guideline if more…

Q: Find the general solution of the given higher-order differential equation. dy 16. dx4 + 40 + 25y = 0…

A: We will find out the required general solution.

Q: (b) Solve the following partial differential equation, a2 z - 3 + 2 = e2x+3y + e*+y + sin(x – 2y)…

A: Rules to obtain particular integral: P.I.=1ϕD,D'eax+by If ϕa,b=0, then P.I.=x1∂ϕ∂Deax+by And…

Q: Solve the following homogeneous differential equations. (y – /x² + y²)dx – xdy = 0, when x = v3, y =…

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Q: (D² – 3D+ 2) y = 14 sin 2x – 18 cos 2x 5. (D² + 25) y = sin x + cos 2x

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Q: Solve the following first order ordinary differential equation. (a) 2y' = 2x² – 6x²y where y(0) = 1…

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Q: Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy…

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Q: Determine the particular solution of the first order linear differential equations dy x°(x + 4)…

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Q: aildz + dy = 0

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Q: Obtain the general solutions of the following differential equations. Show your complete solutions.…

A: 1. Given the differential equation: x+2y-3 dx+3x+4y-5 dy=0 This can be written as follows:…

Q: Solve the following differential equations (x+ 1)dy – 2(y +x + 1)dx = 0; when x = 1, y = 4

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Q: Obtain the solution of the following differential equations. 1. 2r(y+ 1) dx - ydy = 0: 2. y' = cos x…

A: Since you have posted multiple questions we solved first question for you To get the solution of…

Q: Solve the following non-homogeneous first-order ordinary differential equations dy 1-e-2x 1. + y =…

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Q: Solve the given differential equation. dx (y – 2xy)dy = 0 - Ox = 1+ cexp(y*) p(y²) Ох %3D 1+ сехр( —…

A: The given differential equation is: dx-(y-2xy)dy=0...(1)

Q: Solve the separable differential equation dy 3x – 4yyx2 +1 0. da Subject to the initial condition:…

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Q: Solve the following differential equations properly. 1. (y? – xy)dx + (x² – xy)dy = 0 2. (2x2 +…

A: According to guidelines we can solve only first question

Q: Obtain the solution of the following differential equations. 5. (1 − xy)^−2 dx + [y^2 + x^2(1 −…

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Q: Solve the following differential equations properly. 1. (y2 – xy)dx + (x² – xy)dy = 0 2. (2x2 +…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Try to solve the separable first-order differential equations. dy y? dy 1 (у* + 8), у(1) —1 y(0) = 1…

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Q: Solve for the general solution of the following differential equations. 1. (y^+2y)dx +…

A: Solution: As per our guideline we are supposed to answer only one question.

Q: Find the general solution of the following differential equations. 1. (2x – 2y – 3)dx = (2x – 4y –…

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Q: dy (a) xy² Y = x³ +y dx

A: (a). To find: The solution of the homogeneous differential equation. Given: The differential…

Q: Solve the following differential equations: (1) (y+x*)dy- xdx = 0 2.xy-y? dx 2+y +x dy %3D (2)

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