Find d^2y/dx^2 in terms of x and y.

Question

Let f(x) be a function such that dy/dx=2x-y+2.

Find d^2y/dx^2 in terms of x and y.

Answer 1

dy/dx=2x-y+2

Take derivative with respect to x.

d^2y/dx^2=2-(dy/dx)

              =2-(2x-y+2)

              =2-2x+y-2

              =-2x+y