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How do I find the series solution to the following non-linear second order differential equation up to and including the $x^4$ term and plot the solution curve using Mathematica?

y''= x + $y^2$$y''= x + y^2$ (with given initial conditions: y(0)=0$y(0)=0$ and y'(0)=0$y'(0)=0$)

How do I find the series solution to the following non-linear second order differential equation up to and including the $x^4$ term and plot the solution curve using Mathematica?

y''= x + $y^2$ (with given initial conditions: y(0)=0 and y'(0)=0)

How do I find the series solution to the following non-linear second order differential equation up to and including the $x^4$ term and plot the solution curve using Mathematica?

$y''= x + y^2$ (with given initial conditions: $y(0)=0$ and $y'(0)=0$)

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Solving Second Order Non-Linear Differential Equations Using Mathematica

How do I find the series solution to the following non-linear second order differential equation up to and including the $x^4$ term and plot the solution curve using Mathematica?

y''= x + $y^2$ (with given initial conditions: y(0)=0 and y'(0)=0)