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Beliebt Rechnen >

2y^{''}-54y=0,y(1)=1,y(2)=2

Lösung

2 y^{^{''}} - 54 y = 0, y (1) = 1, y (2) = 2

Lösung

y = (e^{33} - \frac{e ^{93} - 2 e ^{63}}{e ^{63} - 1}) e^{33 t - 63} + \frac{( e ^{93} - 2 e ^{63} ) e ^{- 33 t}}{e ^{63} - 1}

Schritte zur Lösung

2 y^{''} (t) - 54 y = 0

Solve linear ODE:

y = (e^{33} - \frac{e ^{93} - 2 e ^{63}}{e ^{63} - 1}) e^{33 t - 63} + \frac{( e ^{93} - 2 e ^{63} ) e ^{- 33 t}}{e ^{63} - 1}

y = (e^{33} - \frac{e ^{93} - 2 e ^{63}}{e ^{63} - 1}) e^{33 t - 63} + \frac{( e ^{93} - 2 e ^{63} ) e ^{- 33 t}}{e ^{63} - 1}

Graph

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