Ap calculus problem! ! "find the general solution for each differential equation. "it's multivariable, so it can't be integrated normally. explain how, so i can finish the rest of my homework

The equation is separable. That is to say, we're given a differential equation of the form

but it happens that we can write , a product of functions of their own independent variables. When this is the case, we can split up the differentials:

Then we integrate both sides and attempt to solve for .

For this ODE, we can write

Other methods are available, but I think they tend to be outside the scope of AP Calc curriculum.

step-by-step explanation: