(D^2-6D+9)y=0

Lösung

(D^{2} - 6 D + 9) y = 0

y = c_{1} e^{3 x} + c_{2} x e^{3 x}

Schritte zur Lösung

(D^{2} - 6 D + 9) y = 0

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} x e^{3 x}

y = c_{1} e^{3 x} + c_{2} x e^{3 x}

4 y^{^{''}} + 4 y^{^{'}} + 512 y = 0, y (0) = 0, y^{^{'}} (0) = 7

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

y^{^{''}} + 10 y^{^{'}} + 16 y = 0, y (0) = 0, y^{^{'}} (0) = - 6

y^{^{''}} = \frac{y}{4}

y^{^{''}} - 4 y^{^{'}} + 8 y = 0, y^{^{'}} (0) = 2, y (0) = 0