Thread: general solutions

What if a differential equation's right-hand side is an integer to a power of the dependent variable? What forms of guesses are appropriate?

Originally Posted by bsbooker

What if a differential equation's right-hand side is an integer to a power of the dependent variable? What forms of guesses are appropriate?

It depends on what's on the left hand side.

For a second order DE with constant coefficients, you might try , but this will not always work. Sometimes you might need or even .....

Post the DE that inspired your question.