2y'y"=1 , y(0)=2 , y'(0)=1

The left side is the derivative of :

So we can integrate both sides of

Then integrate again to solve for :

With the given initial conditions, we find

The second equation says is either 1 or -1, but in the latter case, we would get in the first equation, which is undefined over the real numbers, so .

So there are two candidate solutions,

However, the second equation doesn't satisfy the initial value of the derivative, since . So the solution is

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

5050 i think

step-by-step explanation: