$\"\"$

The function is $\"\"$ .

The differential equation is $\"\"$ .

Verify the differential equation $\"\"$ correspond to the function $\"\"$ .

Consider $\"\"$ .

$\"\"$

Diferentite with respect to $\"\"$ .

$\"\"$

$\"\"$ .

Hence the differential equation $\"\"$ is a solution of $\"\"$ .

$\"\"$

Verify the initial condition $\"\"$ correspond to the function $\"\"$ .

Consider $\"\"$ .

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

$\"\"$

Hence the initial condition $\"\"$ is a solution of $\"\"$ . $\"\"$

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

The initial condition $\"\"$ is a solution of $\"\"$ .