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Beliebt Rechnen >

324y^{''}-612y^'+289y=0,y(0)=8,y^'(0)=5

Lösung

324 y^{^{''}} - 612 y^{^{'}} + 289 y = 0, y (0) = 8, y^{^{'}} (0) = 5

Lösung

y = 8 e^{\frac{17 t}{18}} - \frac{23 e ^{\frac{17 t}{18}} t}{9}

Schritte zur Lösung

324 y^{''} (t) - 612 y^{'} (t) + 289 y = 0

Solve linear ODE:

y = 8 e^{\frac{17 t}{18}} - \frac{23 e ^{\frac{17 t}{18}} t}{9}

y = 8 e^{\frac{17 t}{18}} - \frac{23 e ^{\frac{17 t}{18}} t}{9}

Graph

Beliebte Beispiele

y^{''}-13y-40y=0

y^{^{''}} - 13 y - 40 y = 0

25y^{''}+10y^'+5y=0

25 y^{^{''}} + 10 y^{^{'}} + 5 y = 0

y^{''}+10y^'=0,y(0)=-2,y^'(0)=-2

y^{^{''}} + 10 y^{^{'}} = 0, y (0) = - 2, y^{^{'}} (0) = - 2

-y^{''}+9*pi^2y=0

- y^{^{''}} + 9 \cdot π^{2} y = 0

y^{''}+4y=0,y(0)=cos(2x)

y^{^{''}} + 4 y = 0, y (0) = cos (2 x)