Find the general solution of the differential equation

To be able to evaluate the problem: , we express in a form of .

 To do this, we divide both sides by  .

The general solution of a differential equation in a form of can

 be evaluated using direct integration. We can denote y' as .

Then, 

 becomes 

This is the same as  

Apply direct integration on both sides:

For the left side, we have:

To be able to evaluate the problem: , we express in a form of .

 To do this, we divide both sides by  .

The general solution of a differential equation in a form of can

 be evaluated using direct integration. We can denote y' as .

Then, 

 becomes 

This is the same as  

Apply direct integration on both sides:

For the left side, we have:

 For the right side, we apply u-substitution using then or   .

Applying basic integration property: .

Applying Law of Exponents: and   :

                     

Applying the Power Rule for integration: .

                     

                     

                      

                     

Plug-in in  , we get:

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

 as: