a) Write (x21)y'+2xy as the derivative of a product
b) Solve (x21)y'+2xy=e-x
The Attempt at a Solution
a) I use the product rule backwards and get
b) I exploit what i just found out...
integrate on both sides...
and get that...
this is the correct answer according to the book.
What i am curious about is in the step marked with bold text. I wrote dx at the end just by guessing. Why couldnt i just have written dy instead?