How in the world do you get from here to here

[bmed90]

Homework Statement

(1/x)(dy/dx)-(y/x^2)=e^x


to


d/dx(y/x)=e^x


where does the dy go and where does the 1/x go??

This is a DIFF EQ problem btw...LineaR Eq solving by integrating factor...

Homework Equations

The Attempt at a Solution

 

[Dick]

Find d/dx of y(x)/x. Use the quotient rule.

 

[bmed90]

?

 

[Dick]

?

The derivative of f(x)/g(x) with respect to x is (f'(x)*g(x)-g'(x)*f(x))/g(x)^2. It's called the quotient rule, look it up. Apply it to y(x)/x.