y = (-8cos3x + 24sin 3x) e -X None of the choices y = = (24cos3x - 8sin3x) ex y = (24cos3x + 8sin3x) e¯ y =(-24cos3x + 8sin3x) ex

Q: Find the general solution of the differential equation y^(4) + 8 y^(2) +16y=8sin2x-4cos2x

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Q: Write a differential equation admitting y(x) = (e^x) + 1 as a solution. Please explain or show…

A: Detailed solution is given below.

Q: Find the general solution of the linear differential equation ydx + xdy - x^3e^(-x^2)dx + 2x^2ydx =

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Q: Solve the given differential equation. dx/dy = -( (4y^2+10xy)/(5y^2+2x) )

A: Given DE is dxdy=-4y2+10xy5y2+2x. Solve the DE as follows.

Q: dz 3xt? dt

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Q: the function y(x) satisfies the differential equation: 4d^2/dy^2 +4dy/dx +y=e^(-3x). find the…

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Q: Find the general solution of the given differential equation.  y^(6) +y -0

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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: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

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Q: One solution of the differential equation y''+y'=0 is y=e^-x. A second linearly independent solution…

A: We will find out the required solution.

Q: IN THIS GIVEN DIFFERENTIAL EQUATION, x²e5x (AX+B)E^5X a. b. (AX^2+BX+C)E^5X (АХ-B)E^5X C. d.…

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Q: Solve the first order differential equation  (x^2-3bxy+2b^2y^2)(xdx+ydy)=xdy-ydx

A: The given first order differential equation is…

Q: Determine which of the following is the particular solution for the differential equation…

A: Given: (D2-D+2)y=12x2+18x+6e2x To find: Particular solution for the differential equation.

Q: solve the differential equation for p x + 2(xp-y) + p^2 = 0

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