Free counters!

Friday, April 24, 2015

Separation of Variables - Arbitrary Constant, 10

Category: Differential Equations

"Published in Newark, California, USA"

Find the particular solution for


when x = - 2; y = 1.

Solution:

Consider the given equation above 


By separation of variables, transfer y to the right side of the equation and x to the left side of the equation as follows 



Integrate on both sides of the equation, we have 






Take the inverse natural logarithm on both sides of the equation, we have 




Substitute the values of x and y in order to solve for C as follows   




Therefore, the particular solution is