REQ Solution to differential equation

[Kurret]

Find the solution to $$\frac{c}{y^2}+k=y''$$

I have not started with differential equations yet, so i have eno idea if its possible to solve, but i stumbled upon it when investigating a physics idea i got. Thanks for any help!

 

[Kurret]

uhm, could anyone just leave a comment if its possible to solve or not?

 

[MathematicalPhysicist]

well we can first sketch a solution for y''=k which is y=kx^2/2+Ax+B
but for: y''y^2=c I don't think there's an analytical answer.

 

[dextercioby]

Multiply by y' and you'll be able to integrate both terms of the new equation.

 

[Kurret]

Multiply by y' and you'll be able to integrate both terms of the new equation.

How?? Cant make it work...