If [itex]a_3(x)y'''+a_2(x) y''+a_1(x) y'+a_0(x)y=f(x)[/itex] is an ODE with particular solution [itex]y_{p1}[/itex](adsbygoogle = window.adsbygoogle || []).push({});

and [itex]a_3(x)y'''+a_2(x) y''+a_1(x) y'+a_0(x)y=g(x)[/itex] is an ODE with particular solution [itex]y_{p2}[/itex],

then the ODE [itex]a_3(x)y'''+a_2(x) y''+a_1(x) y'+a_0(x)y=f(x)+g(x)[/itex] has the particular solution [itex]y_{p1}+y_{p2}[/itex].

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# Is this true about differential equations?

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