Differential Equation

Question

dy/dx = y^5

solve each separable first order DE. If possible, give explicit solution for dependent variable.

Answer 1

Raj:

This is a separable 1st order differential equation.

Group the y with the dy.

dy/(y⁵) = 1. dx

∫dy/(y⁵) = ∫1.dx

∫dy/y⁵ = x + C where C is constant.

What does ∫dy/y⁵ equal?