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Solving 2nd 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 2nd Order Differential Equation because the second
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
Multiply both sides of the equation by dx, we have
Multiply both sides of the equation by dx, we have
Integrate on both sides of the equation, we have
Consider
If
then
If
then
Hence, by integration by parts
Substitute the above equation to the original equation, we have
where