Suppose I already have a solution [itex]u[/itex] to a first order ODE.(adsbygoogle = window.adsbygoogle || []).push({});

If I try to solve this ODE without initial conditions and I get another solution [itex]w[/itex], then it can be regarded as a function of an arbitrary constant: [itex]w=w(C)[/itex].

Is it true to say that [itex]u = w(C)[/itex] for some C? If so, how do I find such a C?

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# Homework Help: Theory of linear ODEs

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