Find the general solution of y(6) – 3y(5) + 4y(4) — 127" = 0.
2. Find the general solution to y(4) -4y" +14y" +44y+25y 0 3. Find the general solution to y" +y-sin r
Problem 3 (12 points) Find the general solution y(2) of y" – 4y = 2631 using Variation of Parameters Method.
dy 2. Find the general solution of -y+e"y dv -6xy 3. Find the general solution of t dr 4y+9x2 dy dx Find the general solution of бх2e" + 4y. 4. 5. Find the general solution of dr (y +2) dy 5x +4y Find the general solution of dx 8y3 d By'-4x
(2) (4 marks.) Find the general solution of the ODE e-2x Y"' + 4y + 4y = X > 1. 2
Find the general solution to y" + 4y = sec (2t).
4(10pt). Find the general solution for the following equations. (a) y) – 4y(3) + 5y" = 0. (b) z'y' - xy - y=0. (Hint: Use substitution v = Inx.)
Differential Equation
Q: Find the general solution to the given homogeneous
problem.
10 a.) y' + y" - 2y' - 2y = 0 b.) y(4) + 4y" + 4y = 0
Find the general solution of the homogeneous equation (a y" - 4y' + 13y = 0.
Q1: Find the general solution to the ODE: y'' + 4y' + 13y = 0.