sorry... i was thinking he needed to differentiate equations...
if you're solving for a differential equation...
dy/dx=f(x)
dy=f(x)dx
then integrate
y=∫f(x)dx=F(x)+C
(F(x)=antiderivative, C=constant)
so for simple example
dy/dx=√(x)+x^2-4x^3+2
dy=(x^(1/2)+x^2-4x^3+2)dx
to get...
have one on, one off, one on, tape a weight above one on light switch so it'll eventually fall off and turn it off, and run over to the other room to see which one turns off =)
this from my textbook:
1. differentiate both sides of the equations with respect to x
2. collect all terms involving dy/dx on the left side of the equation and move all other terms to the right side of the equation.
3. factor dy/dx out of the left side of the equation
4. solve for dy/dx by...