Thread: y`=y+2 Seems Simple, but i can't match the answer up to it.

The equation is:
dy/dx=y+2

The answer is y=Ce^x-2

Can anyone explain this?

The answer looks correct. You can easily check if it's correct yourself by finding the derivative and plugging it back into the equation.

If you also want to see why write
the equation is seperable and can be written as


so


then taxing the exp of both sides and writing the arbitrary constant as C = ln c gives the solution as you have it

Or you can check the answer by taking the derivative of it:



So you put this back into the differential equation:



It turns out to be true.