Engineering Math - Differential Equation

 

 

 

 

Solve

 

Step 1

Find Pattern

 

This is not a first order, so Pattern 1 and 2 automatically goes out of consideration.

Then it is higher order and you would immdiately know it is Pattern 3.

 

Step 2

Convert the equation into following format

 

Step 3

Find Roots for the equation

 
Step 4

The solution can be expressed as following form

 
   
Let's see how Wolfram Alpha solve this problem.
 

Go to http://www.wolframalpha.com and Type in as follows :

   
 
   
  Now press [ = ] button and you woul get the solution as follows :