Which term is included in the solution of the differential equation у" — 2у' - Зу — е" , у(0) — 1, у'(0) — 1 O a 0.625e3 O b. 0.25e 0.25e 27 O d. 0.625e

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: Find the general solution of the ordinary differential equation. y" +xy =x

A: Given ODE is  y''+xy=x.......(1)  Here x=0 is an ordinary point of the given differential equation…

Q: Determine if the differential equation (y^2 - 2xy + 6x)dx - (x^2 - 2xy + 2)dy = 0 is exact. If…

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Q: Solve the 2nd order differential equation: y-xy-(y)=1

A: Given the differential equation is  y'-xy''-y''3=1

Q: x-2y+2 Q2:- Solve the ordinary differential equation y': Зх-бу+5

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Q: Determine whether y = 2x is a solution of the differential equation y'= 6x², a. 6x2- and by'= 6r?…

A: Just take derivative of y and substitute in given differential equation and see if it satisfies the…

Q: x x + x = 0 x + x 3

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Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

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Q: Form the differential equation for the function xy = ae2x – be-2x a. xy" – y' = - 4xy O b. xy" – 2y'…

A: The given equation is xy=ae2x-be-2x. Evaluate the differential equation as follows.…

Q: Solve the differential equation. (Assume the independent variable is x.) у" - у' — 20у 3о

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Q: Solve for the differential equation of the given function y = C1x + Cze* by applying elimination of…

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Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

A: To solve the differential equation by using variation of parameters.

Q: Solve the given differential equation by undetermined coefficients. у" - 16у - 80 y(x) =

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Q: Convert y'=Xy ʻ-y into an exact differential equation.

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Q: 5. Find the solution of the differential equation using Variation of Parameters. y"' – 3y" + 3y' =

A: We will use the method of variation of parameters to solve this question. First, we find the three…