Calculus III

need answers for a & b

I. Foundations/Comprehension (No technology allowed, show all work!) 1. Solve the following differential equations, using the method of separation of variables (4 points each): a)y = 1-xty-xy [Implicit solution is fine b) (1 + cos(x))y' = (1 + e->)sin (x) ; y(0) =0