Question

if dy/dx=4y and y=4 when x=0, then y=
a)4e^4x
b)e^4x
c)3+e^4x
d)4+e^4x
e)2x^2+4

Answer 1

I feel like something is missing in this question.

Answer 2

Never mind.

Answer 3

dy/dx=4y


dy=4y*dx


dy/y = 4dx


int(dy/y) = int(4dx)


ln|y| = 4x+C


y = +-e^(4x+C)


y = +-e^(4x)*e^C


y = +-e^C*e^(4x)


y = A*e^4x


From here, plug in x = 0 and y = 4, then solve for A