Question

ODE initial value problem

Answer 1

Sub x=pi?

Answer 2

What you did seems correct to me.

Answer 3

or have I missed something @ironictoaster ?,

\[\Large y^3 = - \cos (x) +c \] You can go from there and do your substitution.

Answer 4

*Correction*

\[ \Large y^3= -3 \cos(x) +c \]

Answer 5

I cancelled ^3 by ^1/3

Answer 6

@Spacelimbus -3cospi+c=0
c=3cospi
c= approx 3

Answer 7

substitution will work here too, might be easier to solve then.

\[\Large 0^3= -3 \cos(\pi) + c \]

Answer 8

\[ \therefore \ c= -3 \]

Answer 9

You mean 3. You add +3cospi+C to both sides?

Answer 10

\[\Large \cos(\pi)=-1 \]

Answer 11

\[ -3 \cdot -1 = 3\]

Answer 12

cospi= 1 according to my calculator

Answer 13

http://www.wolframalpha.com/input/?i=cos%28pi%29