Solve the following using separation of variables. Let C represent an arbitrary constant.
1) (11 + x^2)y ' = 11x^(3)*y
^ I got (Ce^((11x^2)/2))/(e^(11log(x^2+11))) but that's not correct.
Solve the initial value problem.
2) y ' - 2y + 4 = 0, y(1) = 12
^I don't even know how to approach this one.
3)y^2 * dy/dx = x^(-3), y(5) = 0
^I got ((25-x)/6)^(1/3) but that's wrong.
I'm not necessarily looking for the answers...but take me step my step? Or atleast guide me through one or two of them?
Thanks ahead of time!