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Beliebt Rechnen >

-0.1y^{''}+10y=0,y(0)=1,y(1)=0

Lösung

- 0.1 y^{^{''}} + 10 y = 0, y (0) = 1, y (1) = 0

Lösung

y = (1 - \frac{e ^{20}}{e ^{20} - 1}) e^{10 t} + \frac{e ^{20}}{e ^{20} - 1} e^{- 10 t}

Schritte zur Lösung

- 0.1 y^{''} (t) + 10 y = 0

Solve linear ODE:

y = (1 - \frac{e ^{20}}{e ^{20} - 1}) e^{10 t} + \frac{e ^{20}}{e ^{20} - 1} e^{- 10 t}

y = (1 - \frac{e ^{20}}{e ^{20} - 1}) e^{10 t} + \frac{e ^{20}}{e ^{20} - 1} e^{- 10 t}

Graph

Beliebte Beispiele

2y^{''}-5y^'-6y=0

2 y^{^{''}} - 5 y^{^{'}} - 6 y = 0

8y^{''}-2y^'-3y=0

8 y^{^{''}} - 2 y^{^{'}} - 3 y = 0

y^{''}+2y^'-63y=0,y(0)=a,y^'(0)=36

y^{^{''}} + 2 y^{^{'}} - 63 y = 0, y (0) = a, y^{^{'}} (0) = 36

y^{''}+6y^'+25y=0,y(0)=-3,y^'(0)=7

y^{^{''}} + 6 y^{^{'}} + 25 y = 0, y (0) = - 3, y^{^{'}} (0) = 7

2y^{''}+2y^'+5y=0

2 y^{^{''}} + 2 y^{^{'}} + 5 y = 0