Solve: (x² - ay)dx = (ax-y²)dy

Solve: \(\frac { dy }{ dx } \)+ ay = e^x (where a ≠ -1)

The change in the cost of ordering and holding C as quantity q is given by \(\frac { dC }{ dq } =a-\frac { c }{ q } \) where a is a Constanst. Find C as a function of q.

Solve: 3\(\frac { { d }^{ 2 }y }{ dx^{ 2 } } -5\frac { dy }{ dx } \)+ 2y = 0

Solve: (D²-6D+25)y = 0