Step 1:

\

The differential equation is $\"\"$ and initial condition is $\"\"$ .

\

The differential equation is a first order linear differential equation.

\

Solution of first order linear differential equation $\"\"$ is

\

$\"\"$ .

\

Compare $\"\"$ with standard form of differential equation.

\

$\"\"$ and $\"\"$ .

\

Step 2:

\

First find $\"\"$

\

$\"\"$

\

$\"\"$

\

Step 3:

\

The solution of differential equation is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in above equation.

\

$\"\"$

\

Step 4:

\

The solution of the differential equation is $\"\"$ .

\

Initial condition is $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in the solution of the differential equation.

\

$\"\"$

\

Substitute $\"\"$ in the solution of the differential equation.

\

$\"\"$

\

Solution:

\

The solution of the differential equation is $\"\"$ .