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
Find the general solution of the differential equation
y′′+9y=13sec2(3t), 0<t<π/6.
Use C1, C2,... for the constants of integration. Enter an exact
answer. Enter ln|a| as ln(|a|), and do not simplify.
y(t)=