Find the General Solutions to the given differential equations
y(t) =
a) 6y' +y = 7t^2
b) ty' − y =
9t2e−9t, t > 0
c) y' − 8y = 9et
d)
y' + y/t = 6 cos
5t, t
> 0
Find a particular solution to the following non homogenous
equations
1) y''' + y = t^3 + sin (t) + 11e^t
2) y'' + y = 2tsin(t)
3) y''''' - 4 y''' = e^2t + t^2 +5t + 4