We are given the differential equation:

To solve this using the separable method, we can rearrange the terms:

Dividing both sides by , we get:

To integrate the left-hand side, we can use u-substitution:

Let , then and .

Using trigonometric identities, we can simplify the left-hand side:

Now, let’s integrate both sides with respect to their respective variables:

Substituting in the integral, we get:

where is the constant of integration.

By replacing the value of , we can simplify the equation as:

Therefore, the general solution to the differential equation is:

where is the constant of integration.