Any analytical solutions to this second order nonlinear DE?

pivoxa15 · Mar 7, 2006

Are there any analytical solutions to:

ay''+bx^2y+cxy+dy=0

where a,b,c,d are constants and y(x)

If so how would you go about it? Is there a website that teaches you how to solve these?

HallsofIvy · Mar 7, 2006

If by "analytical solutions" you mean "closed form solutions" then, in general no. The standard method of solution for such a function is to use an infinite series.

arildno · Mar 7, 2006

What you've written is a LINEAR ODE, BTW.

mathwonk · Mar 12, 2006

the usual technical meaning of the word "analytic" is a function defined by a power series, and in that sense , as Halls implied, the answer is yes.

Any analytical solutions to this second order nonlinear DE?

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Any analytical solutions to this second order nonlinear DE?

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