Separable Differential Equations Worksheet with Answer Key

What's on the worksheet

1. Separate the variables and find every solution, as an explicit formula y =.
   \dfrac{dy}{dx} = 6x^2e^{-y}\dfrac{dy}{dx} = (2x + 1)(y - 5)\dfrac{dy}{dx} = (1 + y^2)\cos x
2. Consider dydx = 4xy².
3. Consider dydx = y x.
4. Consider dydx = 2x3y² + 1 with y(1) = 1.
5. A small oil spill floats on the water of a marina, and a cleanup crew skims it from the edge inward, so the slick shrinks faster while its edge is…