Mathematics · important

General solution of a differential equation for JEE

Ordinary differential equations, their order and degree

Formula

\(\phi(x,y,C_1,C_2,\dots,C_n)=0\)

Variables: \(C_1,C_2,\dots,C_n\) are arbitrary constants.

Conditions: For an \(n\)-th order differential equation, general solution typically contains \(n\) arbitrary constants.

Identifying complete/general solution.

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