y^{''}+9y=18x+36sin(x)

Lösung

y^{^{''}} + 9 y = 18 x + 36 sin (x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + 2 x + \frac{9}{2} sin (x)

Schritte zur Lösung

y^{''} (x) + 9 y = 18 x + 36 sin (x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + 2 x + \frac{9}{2} sin (x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + 2 x + \frac{9}{2} sin (x)

y^{^{''}} - 4 y^{^{'}} + 4 y = \frac{e ^{- 2 x}}{1 + x ^{2}}

y^{^{''''}} + 7 y^{^{''}} + 6 = 0

y^{^{''}} + 3 y = 6 t^{3}, y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 25 y = 8 cos (5 x)

y^{^{''}} + a^{2} y = b cos (c x), y (0) = 0, y^{^{'}} (0) = 0