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Wednesday, March 26, 2014

Solving nth Order Differential Equations

Category: Differential Equations, Integral Calculus, Trigonometry

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above


The given equation is a 4th Order Differential Equation because the fourth derivative of y with respect to x is involved. We can rewrite the given equation as follows



Multiply both sides of the equation by dx, we have




Integrate on both sides of the equation, we have 




Rewrite the above equation as follows 



Multiply both sides of the equation by dx, we have 




Integrate on both sides of the equation, we have 






Rewrite the above equation as follows 



Multiply both sides of the equation by dx, we have 








Multiply both sides of the equation by dx, we have 








where