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Beliebt Rechnen >

2y^{''}+3y^'+4y=0

Lösung

2 y^{^{''}} + 3 y^{^{'}} + 4 y = 0

Lösung

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{23 t}{4}) + c_{2} sin (\frac{23 t}{4}))

Schritte zur Lösung

2 y^{''} (t) + 3 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{23 t}{4}) + c_{2} sin (\frac{23 t}{4}))

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{23 t}{4}) + c_{2} sin (\frac{23 t}{4}))

Graph

Beliebte Beispiele

integral of sqrt(x)-x^4

\int x - x^{4} d x

derivative of (5x-2/(2x+7))

\frac{d}{d x} (\frac{5 x - 2}{2 x + 7})

y^{''}-3y^'-28y=0

y^{^{''}} - 3 y^{^{'}} - 28 y = 0

limit as x approaches 0 of (e^{x^6}-1)/x

x \to 0 lim (\frac{e ^{x^{6}} - 1}{x})

integral of 4e^{-2x}

\int 4 e^{- 2 x} d x