The equation is:

dy/dx=y+2

The answer is y=Ce^{x}-2

Can anyone explain this?

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- March 28th 2012, 12:06 PMDeo3560y`=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? - March 28th 2012, 12:42 PMRidleyRe: y`=y+2 Seems Simple, but i can't match the answer up to it.
The answer looks correct. You can easily check if it's correct yourself by finding the derivative and plugging it back into the equation.

- March 29th 2012, 09:35 AMthelostchildRe: y`=y+2 Seems Simple, but i can't match the answer up to it.
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 - March 30th 2012, 03:38 PMCreebeRe: y`=y+2 Seems Simple, but i can't match the answer up to 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.