Question

Solve ds/dt=cos(2t)+sin(t) explicitly when t=π and s = 1.

Answer 1

s = ½sin(2x) - cos(x)

Explanation:

s = sin(2t)/2 - cos(t) + c

1 = sin(2pi)/2 - cos(pi) + c

1 = 0 - (-1) + c

1 = 1 + c

c = 0

s = ½sin(2x) - cos(x)