Solve a 2nd order Ordinary Differential Equation

[physicsguy43]

Homework Statement

Y''-((Y')^2)+(C1*exp(Y))=C2

C1 and C2 are constants.
exp = e

Homework Equations

No clue how to start this

The Attempt at a Solution

Y'=A=dY/dt
Y=At+C3 (not sure)

A'-(A^2)+C1exp(At+C3)-C2=0
A'-(A^2)+C1exp(C3)exp(At)=0
let C=C1*exp(C3)
A'-(A^2)+Cexp(At)=0

 

[Dr. Courtney]

http://www.wolframalpha.com/input/?i=solve+Y''(x)+-+(Y'(x))^2+(C1*exp(Y(x)))=C2

 

[SteamKing]

Homework Statement

Y''-((Y')^2)+(C1*exp(Y))=C2

C1 and C2 are constants.
exp = e

Homework Equations

No clue how to start this

The Attempt at a Solution

Y'=A=dY/dt
Y=At+C3 (not sure)

A'-(A^2)+C1exp(At+C3)-C2=0
A'-(A^2)+C1exp(C3)exp(At)=0
let C=C1*exp(C3)
A'-(A^2)+Cexp(At)=0

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[physicsguy43]

http://www.wolframalpha.com/input/?i=solve+Y''(x)+-+(Y'(x))^2+(C1*exp(Y(x)))=C2

Right, that helps me a lot, thanks!