y^{''}-5y^'-36y=0,y(0)=-2,y^'(0)=3

Lösung

y^{^{''}} - 5 y^{^{'}} - 36 y = 0, y (0) = - 2, y^{^{'}} (0) = 3

y = (- 2 + \frac{21}{13}) e^{9 t} - \frac{21}{13} e^{- 4 t}

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) - 36 y = 0

Solve linear ODE:

y = (- 2 + \frac{21}{13}) e^{9 t} - \frac{21}{13} e^{- 4 t}

y = (- 2 + \frac{21}{13}) e^{9 t} - \frac{21}{13} e^{- 4 t}

y^{^{''}} - 16 y = 0, y (0) = 3

2 y^{^{''}} - 5 y^{^{'}} - 3 y = 3 y

10000 y^{^{''}} - 81 y^{^{'}} = 0, y (0) = 8, y^{^{'}} (0) = 5

y^{^{''}} - 4 y^{^{'}} + 4 y = 0, y (0) = 8, y (1) = 0

\frac{d ^{2} y}{d x ^{2}} - \frac{11}{2} \frac{d y}{d x} + 6 y = 0