Find the general solution of the differential equation

For the given problem: , we can evaluate this by applying variable separable differential equation in which we express it in a form of .

to able to apply direct integration:   .

Rearranging the problem:

 or

Applying direct integration, we denote :

For the given problem: , we can evaluate this by applying variable separable differential equation in which we express it in a form of .

to able to apply direct integration:   .

Rearranging the problem:

 or

Applying direct integration, we denote :

For the left side, we apply the basic integration formula for logarithm:

For the right side, we apply u-substitution by letting then .

 Applying the Power Rule for integration : .

         

Plug-in in , we get:

Combining the results, we get the general solution for differential equation  as:

The general solution: can be expressed as:

.