Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t O y(t) = Ae4t + Bte4t y(t) = cos(4t) + sin(4t)

Q: y" + 3y' + 2y = e¯ 2« – 10 sin(æ) - 10 -2x -

A:

Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: xy2 y' = ey + sin y dy = dx x+y y' = x2

A:

Q: If the solution of y'' -4y' + 8y = 0  is in the form of y(x) = (e^(ax)) *(c1*cos(bx) + c2*sin(bx))

A:

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly…

Q: Q2) Find the general solution for this equatio- y" + (tanx-2cotx)y' + (2cot²x)y = 0 If you know that…

A: Given differential equation It has one solution Lets use method of reduction of order.Assume the…

Q: y' = (4x + y)?

A:

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: A particular solution of y" - 3y' – 4y = 2sinx 5 -cosx 17 a. 3 COSX - 17 5 sinx 17 b. 3 -sinx 17 C.…

A: find roots for the homogeneous system