Power series solution of nonlinear ODE

Question:Power series solution of nonlinear ODE

Posted: Sradharam 100 Product: Maple 2019

May 20 2021

How to find the power series solution of a nonlinear 4th order ordinary differential equation.

>ode:=U""+c^2*U"+k*c*U"-(3U^2+a)*U''=0

where U' denotes the differential w.r.t z and a,k,c are constants. Please help to find.

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