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Beliebt Rechnen >

y^'=e^{5x}-9x

Lösung

y^{^{'}} = e^{5 x} - 9 x

Lösung

y = \frac{1}{5} e^{5 x} - \frac{9 x ^{2}}{2} + c_{1}

Schritte zur Lösung

y^{'} (x) = e^{5 x} - 9 x

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int e^{5 x} - 9 x d x

\int e^{5 x} - 9 x d x = \frac{1}{5} e^{5 x} - \frac{9 x ^{2}}{2} + c_{1}

y = \frac{1}{5} e^{5 x} - \frac{9 x ^{2}}{2} + c_{1}

Graph

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