# Solve the IVP {eq}x'-5x=15e^{5t}, x(2)=20e^{10}{/eq}

## Question:

Solve the IVP {eq}x'-5x=15e^{5t}, x(2)=20e^{10}{/eq}

## Particular Solution:

The solution of the differential equation in which the initial values are given is known as the particular solution. We have to find out the particular solution of the given differential equation. We will use the integrating factor method to solve the given differential equation.

$$x'-5x=15e^{5t}$$