Question

The rate of change of y with respect to x is one-half times the value of y. Find an equation for y, given that

Answer 1

The full question

Answer 2

dy/dx = 0.5y

dy/0.5y = dx

integrating

2 INT (1/y) = INt dx

2 ln y = x
ln y = 0.5x

y = A e^(0.5x) where A is a constant

Answer 3

Now plug in the given values of x and y

Answer 4

this will give you the value of A and the correct choice of answers

Answer 5

Thanks mate!!