Find the general solution of this ODE:

$\frac{d^{2}y}{d{t}^2}10\frac{dy}{dt}25y=7e^{-5t}$

The solution will be of the form:

$y(t)=C{y}_1(t)D{y}_2(t)y_p(t)$

so use $C$ and $D$ as the arbitrary constants.

$y(t)=$

$$