Question

Solve the equation, can anyone help me out?

Answer 1

\[y(x)=7+3\int\limits_{7}^{x} ty(t)dt\]

Answer 2

These are the apparent options to choose from:

Answer 3

hint:
if I take the first derivative of both sides, and I apply the fundamental theorem of integral calculus, I get this ODE:
\[\huge y' = 3xy\]

Answer 4

with the initial condition:
\[\huge y\left( 7 \right) = 7\]

Answer 5

Ahh, I see, so it would be 7*exp((3/2)*(x-7)*(x+7))! Thanks!!