thanksSolutionmultiply e18t throughout the equation The diff

Solution

multiply e^(1/8)t throughout the equation

The differential equation becomes,

d/dt(e^(1/8)ty) = 8te^(1/8)t

the solution of which gives------y = [{64e^(1/8)t(t-8)}+c]/e^(1/8)t

given y(0) = 3

which gives c = 515

So, y = [{64e^(1/8)t(t-8)}+515]/e^(1/8)t