Separable Differential Equations

Differential Equations are a major part of mathematics with many different ways to solve. The first way you will be taught is by using separation. Examples are provided below.

Steps:
1. Get all of the y terms on the dy side and all the x terms on the dx side
2. Integrate each side with respect to either y or x. Do not forget to include the constant 'c' on the side with the x terms
3. Once done integrating, evaluate the equation algebraically to get the single 'y' term by itself



Question 1: \[y (dy/dx) = xe^{-y^2}\]

Question 2: \[dy/dx = 4y-80\]

Question 3: \[(1-x^2)^{1/2}(dy/dx) = 7xy\]