Question

If dy/dx = y cos x and y = 3 when x = 0, then y =....? Here are the answer choices

a) e^(sinx) +2
b) e^(sinx) + 3
c) sin x + 3
d) sin x + 3e^x
e) 3e^ (sinx)

Answer 1

dy/dx = y cos x
y = Ae^sin(x)
y(0) = Ae^sin(0) = A = 3
A = 3

Therefore, y = 3e^(sinx)