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Beliebt Rechnen >

(d^2y)/(dx^2)+2(dy)/(dx)-3y=24e^{3x}

Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 24 e^{3 x}

Lösung

y = c_{1} e^{x} + c_{2} e^{- 3 x} + 2 e^{3 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 24 e^{3 x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 3 x} + 2 e^{3 x}

y = c_{1} e^{x} + c_{2} e^{- 3 x} + 2 e^{3 x}

Graph

Beliebte Beispiele

y^{''}-y^'-2y=8sin(t)-2cos(t)

y^{^{''}} - y^{^{'}} - 2 y = 8 sin (t) - 2 cos (t)

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y^{^{''}} + 6 y^{^{'}} + 13 y = 13 x^{2}

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y^{''}-3y^'+y=-e^x

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