Question

Solve the inital value problem for y as a function of x given: dy/dx=2x-6 with an inital condition of y=4 when x=1.

antiderivative->x^2-6x+c
4=1^2-6(1)+c
c=9
y-x^2-6x+9

Answer 1

see previous solution

Answer 2

Do you mean c=9?

Answer 3

yes, your solution is correct, except write it up this way:

dy/dx = 2x-6
y = x^2 - 6x + c and then proceed as you did before

Answer 4

I didn't realize I put y- instead of y=. So, you mean write it y=x^2-6x+9?