Solve = 1 +y, y(0) = 0 by Picard's method. %3D dx

Q: y" – 2y' + y: [12x – 4]e-Sx %D -

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Q: (3x2- 2ху + 3у?)аx %3 4хy dy

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Q: dx3 d²y_dy+y=0 dx² dx

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Q: dy Solve the differential equation by variable separable method + xy°dx = 9xdæ

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Q: y" = 12x² %3D

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Q: 2. Solve the ff. equation using integrating factor. dy 2y – e3r dx

A: Given: dydx=2y-e3x

Q: (Dª – D³ – 3D² + D + 2)y = 0

A: Explanation of the answer is as follows

Q: 2x³y' y(y? + 3x?)

A: Given  2x3y'=y(y2+3x2) And we have to find out the solution.

Q: Solve the differential equation Integrating Factor by Inspection: xdy – ydx = 3x²(x² + y²)dx

A: We have to solve the differential equation xdy-ydx=3x2x2+y2dx by using integrating factor by…

Q: Solve the Differential Equation x dy – (y + Vx? - y²) dx = 0

A: Solving the differential equation:

Q: Solve differential equation  (D3+2D2+D)y=x3

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Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: 10 %3D dx x2 +X

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Q: Q2: Solve by Separable Differential Equation. y=xe

A: We need to solve the separablefydx=fxdx differential equation

Q: Using variation of parameters, solve the differential equation e y" – 4y' + 3y = 1+ ez' -

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Q: 1. Solve the nonlinear equation x - 5 y? dy dx

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Q: - = y? + xy dx

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Q: Using separation of variables, solve the differential equation, dy (8+ r*). dx %3D Use C to…

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Q: Solve the differential equation. 9x2 dy dx V5 + x3 y = + C

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Q: solve the differential equation 2x2 dx - 3√y csc x dy = 0

A: 2x2 dx-3ycscx dy=0 On simplification, we get ⇒2x2 dx=3ycscx dy⇒2x2cscx dx=3y dy⇒2x2sinx dx=3y dy…

Q: Solve the differential equation: dy + (7x – 7)y = 4x7 dx

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Q: y' = x + 2y solve the differential equation

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Q: dy dx sec? x sec³ y

A: Given differential equation is: dydx=sec2x sec3y Rearranging the equation we get, 1sec3y dy=sec2x…

Q: Solve differential equation dy/dx + y^2 = 2/x^2

A: Definition of differential equations helps to solve the given differential equation. An equation is…

Q: Q1/ Solve the differential equation (choose 2). ye**dy = dx

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Solve the differential equation dx dy_хy+3x - у-3 ху — 2х + 4у —8 %3D |

A: We have to solve the differential equation. It is solved by taking the common factor and then…

Q: Solve the differential equation given.

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Q: (sin² y + x coty)y' = 1

A: I have appended the formula used in the solution part of the question.

Q: Solve the differential equation: dydx= 2y2/sqrt(x)    y(1)=154

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Q: Q9// Solve the differential equation dy x-= y + Vx² – y² dx

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Q: = (+ Use the fact that i and -i = to solve the differential equation dx4 + y = 0.

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Q: -2y dx = (9 + x³ )edy %3D 1. Solve the differential equation

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Q: What is the degree of the differential equation? d?y 2 %3D + dx dx?

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Q: Solve The Differential Equation Step by Step 4t²x" + (t²+1)x=0

A: Given differential equation is 4t2x''+(t2+1)x=0         (1) Let the solution be x=∑antn+m Then…

Q: Solve the differential equation by using variation parameter method y''-6y'+9y=8+e^-9x

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Q: . (D² + *. + D)y = 6 + 3 e²

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Q: Solve the differential equation. dy/dx = 9x sqrt(y), for y ≠ 0

A: Given : dydx = 9xy, y≠0

Q: V1+x+y = (x +y– 1) %3D dx

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Q: Solve the differential equation Integrating Factor by Inspection: xdx + ydy = (x² + y²)dx

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Q: dy Solve the differential equation dx ху+2у-х-2 - ху-Зу+x-3

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Q: Q4: Solve the differential equation: 8- dx2 d²y 69 + y = 6. coshx dy dx

A: Some formulas: coshx=ex+e-x2 Given differential equation is: 8y''-6y'+y=6 coshx Auxiliary equation…

Q: By the method of change of constant, y"-2y'+y = e*/x X, %3D Solve the differential equation.

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Q: dy 3 +-y= dx cosx B. Solve the differential equation

A: The solution is given below

Q: Find the general solution of the differential equation. у" - 400у %3D0 ... y(x) =

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Q: Solve using non-exact linear differential equation ye^(-2y) dx - (xye^(-2y) + y) dy = 0

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Q: d'y +2 + y = 3e¯* dx dx 5.

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Q: d²y a) Solve the differential equation -2 +y=5x+3. dx dy

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Q: Using Exact Differential Equation, solve (ex+y)dx + (2+x+yey)dy = 0

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