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

Lösung

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

y = c_{1} e^{(3 + 15) t} + c_{2} e^{(3 - 15) t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{(3 + 15) t} + c_{2} e^{(3 - 15) t}

y = c_{1} e^{(3 + 15) t} + c_{2} e^{(3 - 15) t}

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 2 y = 0

y^{^{''}} + y = 0, y (\frac{π}{3}) = 2, y^{^{'}} (\frac{π}{3}) = - 4

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} - 32 y = 0

y^{^{''}} - 6 y^{^{'}} + 13 y = 0, y (0) = 2, y^{^{'}} (0) = 0

y^{^{'''}} + 2 y^{^{''}} - 9 y^{^{'}} - 18 y = 0