Find the solution of the differential equation y"-4y = 4x - e3x y = C,e2x + Cze=2x + e* + x a. %3D b. y = C,e2x + C2e-2x – ex + x с. y = C,e2x + C2e¯2x + e* – x y = C,e2x + C2e-2x - e* – x %3D d.

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A: Given Differebtial Equation,  y'=3x2y dydx=3x2y

Q: show that y2 = Cx + (1/8) C3   is a solution to the differential equation y= 2xy' + y2 (y')3

A: y2=Cx+C38and given ODE is:y=2xy'+y2(y')3

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Q: 2] The linear differential equation with constant coefficients satisfied by the equation y = 2x 5e2*…

A: Hence option (b) is correct.

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Q: 2-The exact solution of differential equation ý--4y with y(0)-1 is (a) 2e-4x (b) e-4x (c) e-4x +1…

A: As per as our guideline i am supposed to answer only one question from all these question . To get…

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Q: 1. Determine whether = is a solution of the differential equation y'--y = 0 3 y' = 6x² а. 6x2-…

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A: We will find out the required solution.

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Q: What is the general solution to the differential equation (2x-2y-3)dx=(2x-4y-2)dy

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Q: Suppose dr - =4sin(2x) and y= -2 when *=. what is the particular solution to the given differential…

A: In this question, we need to find the particular solution to the given differential equation.

Q: 1) (y = 1

A: As per our guideline we can solve maximum one question you can repost other questions

Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

Q: 5) Verify that y = 2e3 – 2x – 2 is a solution to the differential equation y' – 3y = 6x + 4. - -

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Q: 6, find the general solution of the given differential equation: y" - 5y + 4y = 2et (

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Q: Find the particular solution of the differential equation y’ + 7x = 0, at y = 0, x = 3. y = 63x2/2 y…

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Q: Choose a solution for the differential equation y'' - y = x2ex + 5: e-x(1/6x3 - 1/4 x2 + 1/4x + 3)…

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A: Solution:

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A: The differential equation y'''+2y''-5y'-6y=0 where y0=3,y'0=6,y''0=12. Rewrite the equation using…

Q: Determine the solution of the system of differential equations where a, b belong to R- [0]

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Q: The General solution of differential equation defined by: x2 y"-2x y'-4y=0 is defined by 1 y(x) = C,…

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Q: The solution to the differential equation (5x² – 3)dy + xy°dx = 0 %3D is: Select one: 10 ソ=ー In(5x²…

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