Free counters!

Tuesday, July 29, 2014

Separation of Variables - Arbitrary Constant, 2

Category: Differential Equations

"Published in Newark, California, USA"

Find the particular solution for


in which y = 2 when x = 5.

Solution:

Consider the given equation above 


Since dx and dy have the same variables, then we can integrate both sides of the equation as follows





Substitute the value of x and y in order to get the value of C as follows






Therefore, the particular solution is