- #1

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y''+Ay'+By+Cy^2=f(x), y is function of x

Thanks a lot!

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- Thread starter kemiao
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- #1

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y''+Ay'+By+Cy^2=f(x), y is function of x

Thanks a lot!

- #2

mathman

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Move to math forum - diff. eq.

- #3

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thanks. it actually applies to a specific physics problem.

i am trying to solve this for a non-linear spring-mass-damper system where the spring stiffness is not constant, but linearly proportional to displacement. thanks!

- #4

SteamKing

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Since the DE is non-linear, a numerical solution would probably be called for.

- #5

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i'd imagine the solution could take a form of something like

y(x) = A1*cos(x)+A2*x^2*cos(2x)+A3*x^3*cos(3x)+...

Since the DE is non-linear, a numerical solution would probably be called for.

- #6

pasmith

Homework Helper

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Since the DE is non-linear, a numerical solution is probably called for.

Agreed. You might be lucky and find an analytic solution for particular parameter values and a particular f(x), but a general analytic solution is probably not possible.

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