$\"\"$

The equation is $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

The initial condition is $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

The differential equation $\"\"$ and initial condition $\"\"$ is a solution of the function $\"\"$ .

$\"\"$ is a particular solution to the differential equation.

$\"\"$

$\"\"$ is a particular solution to the differential equation.