Recent content by greentea

Sorry, I meant to say "integrate". Thanks for the response though.

Homework Statement Derive x/(1-x) Homework Equations By substitution: u = (1-x) du = -dx ∫x/(1-x)dx = -∫(1-u)/u du = ∫1-(1/u)du = u-log(u)+c = (1-x) - log(1-x) + c By decomposition: x/(1-x) = 1/(1-x)-1 ∫1/(1-x)-1dx = -log(1-x)-x+c The Attempt at a Solution Which solutions...

Homework Statement In my ODE class, we learned how to solve first order ordinary differential equations which are not exact yet but exact after multiplying by the right integrating factor. The integrating factor we learned about take one of the five forms: f(x), f(y), f(xy), f(x/y), and...