(d^2y)/(dt^2)-5(dy)/(dt)+6y=0,y(0)=2

Lösung

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} + 6 y = 0, y (0) = 2

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

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} - 5 \frac{d y}{d t} + 6 y = 0

Solve linear ODE:

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

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

y^{^{''}} - 10 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = 3.65

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = - 3, y^{^{'}} (0) = 12

0.5 x^{^{''}} + 0.5 x^{^{'}} + 6 x = 0, x (0) = 3, x^{^{'}} (0) = 0

y^{^{''}} - 144 y = 0

y^{^{''''}} + 4 y^{^{'''}} + 8 y^{^{''}} + 16 y^{^{'}} + 16 y = 0