find the general solution of the given differential
equation.
1. y'' + y = tan t, 0 < t < π/2
2. y'' + 4y' + 4y = t-2 e-2t , t >
0
find the solution of the given initial value problem.
3. y'' + y' − 2y = 2t, y(0) = 0, y'(0) = 1
A) Find the general solution of the given differential equation.
y'' + 8y' + 16y = t−2e−4t, t > 0
B) Find the general solution of the given differential equation.
y'' − 2y' + y = 9et / (1 + t2)