try also solve this by Variation of Parameters method! Solve the following initial value problem: y" + 2y + 5y = 4e cos(2r) y(0) = 1, y (0) = 0.

Q: Q2: Find General Solution (YGS)to the equation (Y4-1) Y=COS(2x)

A:

Q: se the method of undetermined coefficients to find the general solution to: y'' + y = 5 Cos(t)

A: Use the method of undermined coefficient to find the general solutionof differential equationy''+y=5…

Q: Verify if y = c, sin 3x + c2 cos 3x + 9x2 - 2 is a solution to y' +9y = 81a?. Show your solutions…

A:

Q: -+y? сos(2t) %3D 0 ; y(0) = 1 dt

A: Given dydt+y2cos2t=0   y0=1

Q: Find the general solution of y(4) + y" = 3t2 + 4 sin t – 2 cos t

A: Given differential equation is y(4) + y" = 3t2 + 4sin(t) - 2cos(t)

Q: Solve: y" + 6y' + 9y = cos(3x) 1. Find yc 2. Find yp 3. General Solution

A:

Q: c) (x² – 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A:

Q: Solve the following DE: y'=y-xy³e-2x Oe² = y(x²+C) O e²x=y²(x²+ C) Oe-2x = y²(x+C) Oe-²x = y²(x²+ C)

A: