y^{''}-25y=6sin(x)

Lösung

y^{^{''}} - 25 y = 6 sin (x)

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} - \frac{3}{13} sin (x)

Schritte zur Lösung

y^{''} (x) - 25 y = 6 sin (x)

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} - \frac{3}{13} sin (x)

y = c_{1} e^{5 x} + c_{2} e^{- 5 x} - \frac{3}{13} sin (x)

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = sin (x)

y^{^{''}} + 2 y^{^{'}} + 6 y = e^{- 2 t}, y (0) = 2, y^{^{'}} (0) = 1

y^{^{''}} + 4 y^{^{'}} + 5 y = 1, y (0) = 0, y^{^{'}} (0) = 0

10 y^{^{''}} + 45 y^{^{'}} + 2500 y = 180 cos (7 π x)

y^{^{''}} + 4 y = sin (t), y (0) = 1, y^{^{'}} (0) = - 1