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Beliebt Rechnen >

y^{''}-6y^'=0,y(0)=5-5e^6,y(1)=0

Lösung

y^{^{''}} - 6 y^{^{'}} = 0, y (0) = 5 - 5 e^{6}, y (1) = 0

Lösung

y = (5 - 5 e^{6} - \frac{- 5 e ^{6} + 5 e ^{12}}{- e ^{6} + 1}) e^{6 t} + \frac{- 5 e ^{6} + 5 e ^{12}}{- e ^{6} + 1}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) = 0

Solve linear ODE:

y = (5 - 5 e^{6} - \frac{- 5 e ^{6} + 5 e ^{12}}{- e ^{6} + 1}) e^{6 t} + \frac{- 5 e ^{6} + 5 e ^{12}}{- e ^{6} + 1}

y = (5 - 5 e^{6} - \frac{- 5 e ^{6} + 5 e ^{12}}{- e ^{6} + 1}) e^{6 t} + \frac{- 5 e ^{6} + 5 e ^{12}}{- e ^{6} + 1}

Graph

Beliebte Beispiele

y^{''}-8y^'+5y=0

1x^{''}+6x^'-1x=0

6y^{''''}+77y^{''}+25y=0

y^{''}-3y^'+2y=0,y(0)=2,y^'(0)=-6

y^{''}-7y^'+12y=0,y(0)=1