- Thread starter
- #1

#### nathancurtis11

##### New member

- Sep 3, 2013

- 10

Question 1:

The function f: (all real) -> (all real) is defined by the set

{ y''+(pi)

^{2}y=0

S: { y(1/3) = (3)

^{.5}

{ y'(1/3) = -pi

Find two numbers (c

_{1}and c

_{2}) such that

c

_{1}cos((pi)x) + c

_{2}sin((pi(x))

Question 2:

Let f: I -> (all real) be a solution of the diff eq y''-xy'+y=0

a) is f 3 times differentiable?

b) is f smooth?