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Beliebt Rechnen >

y^{''}+7y^'+12y=2e^t

Lösung

y^{^{''}} + 7 y^{^{'}} + 12 y = 2 e^{t}

Lösung

y = c_{1} e^{- 3 t} + c_{2} e^{- 4 t} + \frac{1}{10} e^{t}

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) + 12 y = 2 e^{t}

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} e^{- 4 t} + \frac{1}{10} e^{t}

y = c_{1} e^{- 3 t} + c_{2} e^{- 4 t} + \frac{1}{10} e^{t}

Graph

Beliebte Beispiele

t^2y^{''}-2ty^'+2y=4t^2

t^{2} y^{^{''}} - 2 t y^{^{'}} + 2 y = 4 t^{2}

integral of (a+x)^3

\int (a + x)^{3} d x

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integral from 1 to 2 of (-7ln(x))/(x^2)

\int_{1}^{2} \frac{- 7 ln ( x )}{x ^{2}} d x

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\int \frac{- 7}{cos ( x ) - 1} d x