Solving Difficult Equations: y = -2x - 2/7 + ce^(-7x)

[kyu]

Homework Statement

Homework Equations

i have done till the 2nd final step
how is it possible to get the final answer y = -2x - 2/7 + ce^(-7x)
why is it ce^(-7x) and not c/e^(-7x)?

The Attempt at a Solution

 

[Fredrik]

I agree with you. It should be $c/e^{-7x}=ce^{7x}$.

 

[Ray Vickson]

Homework Statement

Homework Equations

i have done till the 2nd final step
how is it possible to get the final answer y = -2x - 2/7 + ce^(-7x)
why is it ce^(-7x) and not c/e^(-7x)?

The Attempt at a Solution

You are correct.

 

[Orodruin]

While this was a quite blatant error where the last two lines were not compatible with each other. If you are in doubt, you can always insert the solution into the differential equation and check that it actually solves it.