y^{''}-7y^{''}+19y^'-13y=0

Lösung

y^{^{''}} - 7 y^{^{''}} + 19 y^{^{'}} - 13 y = 0

y = c_{1} e^{t} + c_{2} e^{\frac{13 t}{6}}

Schritte zur Lösung

y^{''} (t) - 7 y^{''} (t) + 19 y^{'} (t) - 13 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{\frac{13 t}{6}}

y = c_{1} e^{t} + c_{2} e^{\frac{13 t}{6}}

\frac{d ^{2} y}{d x ^{2}} + 2 a \frac{d y}{d x} + (b^{2}) y = 0

y^{^{''}} - 2 y^{^{'}} + y = 0, y (0) = 8, y^{^{'}} (0) = 3

\frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + 5^{2} y = 0

l in e a r 12 \frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 3 y = 0

\frac{d ^{2} y}{d x ^{2}} (1) - \frac{d y}{d x} (10) = 0