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Beliebt Rechnen >

y^'=2y+x^2+9

Lösung

y^{^{'}} = 2 y + x^{2} + 9

Lösung

y = - \frac{x ^{2}}{2} - \frac{x}{2} - \frac{19}{4} + c_{1} e^{2 x}

Schritte zur Lösung

y^{'} (x) = 2 y + x^{2} + 9

Solve linear ODE:

y = - \frac{x ^{2}}{2} - \frac{x}{2} - \frac{19}{4} + c_{1} e^{2 x}

y = - \frac{x ^{2}}{2} - \frac{x}{2} - \frac{19}{4} + c_{1} e^{2 x}

Graph

Beliebte Beispiele

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t an g e n t f (x) = x^{2} + a x + 2, at x = 1

integral of-6ln(x^2-1)

\int - 6 ln (x^{2} - 1) d x

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\int (x cos (4 x)) d x

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\frac{d}{d x} (\frac{2 x + 2 x ^{2}}{( 1 + 2 x ) ^{2}})