y^{''}-y=sin(3x)

Lösung

y^{^{''}} - y = sin (3 x)

y = c_{1} e^{x} + c_{2} e^{- x} - \frac{1}{10} sin (3 x)

Schritte zur Lösung

y^{''} (x) - y = sin (3 x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - \frac{1}{10} sin (3 x)

y = c_{1} e^{x} + c_{2} e^{- x} - \frac{1}{10} sin (3 x)

5 y^{^{''}} - 19 y^{^{'}} - 4 y = 1 + 4 x

(d^{3} - 7 d - 6) y = 2 e^{x} cos (\frac{x}{2})

y^{^{''}} + 5 y^{^{'}} + 6 y = 3 e^{- 2 x}

y^{^{''}} - 4 y - 12 y = 12 t

y^{^{''}} + y^{^{'}} - 6 = 2 x