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Sunday, March 23, 2014

Solving 3rd Order Differential Equations, 2

Category: Differential Equations, Integral Calculus

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above


The given equation is a 3rd Order Differential Equation because the third derivative of y with respect to x is involved. We can rewrite 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 






Multiply both sides of the equation by dx, we have 




Integrate on both sides of the equation, we have 







where