Step 1:

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

Consider $\"\"$ .

Re-write the equation.

$\"\"$

Multiply and divide each side by 2.

$\"\"$

Integrate on each side.

$\"\"$

Step 2:

$\"\"$

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

The initial condition is $\"\"$ .

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

$\"\"$

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

$\"\"$

Take exponents of each side.

$\"\"$

Properties of natural logarithms: $\"\"$ .

$\"\"$

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

Solution:

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