y^{''}+17y=e^{6x}

Lösung

y^{^{''}} + 17 y = e^{6 x}

y = c_{1} cos (17 x) + c_{2} sin (17 x) + \frac{1}{53} e^{6 x}

Schritte zur Lösung

y^{''} (x) + 17 y = e^{6 x}

Solve linear ODE:

y = c_{1} cos (17 x) + c_{2} sin (17 x) + \frac{1}{53} e^{6 x}

y = c_{1} cos (17 x) + c_{2} sin (17 x) + \frac{1}{53} e^{6 x}

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

y^{^{''}} + y = 6 e^{- 2 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} - y^{^{'}} - 2 y = x^{2} sin (2 x)

y^{^{''}} + 16 y = g (t), y (0) = 0, y^{^{'}} (0) = 2

y^{^{''}} - 2 y^{^{'}} + y = 3 x^{\frac{3}{2}} e^{x}