Homework: Separation of Variables
Instructions. For each differential equation below:
• If the equation is separable, solve it using separation of variables.
• If the equation is not separable, clearly explain why separation of
variables does not apply.
1.
2.
3.
dy
(x + 1)
=
dx
2y
2y dy = (x + 1) dx
dy
=x+y
dx
2y dy = (x + 1) dx
dy
= xy + y
dx
dy/dx = y(x+1)
1/y dy
1
0
