(D^2+5)y=cos(sqrt(5))x

Lösung

(D^{2} + 5) y = cos (5) x

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{cos ( 5 ) x}{5}

Schritte zur Lösung

(D^{2} + 5) y = cos (5) x

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{cos ( 5 ) x}{5}

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{cos ( 5 ) x}{5}

3 y^{^{'}} + 2 y^{^{''}} = - 1000 cos (3.14 \cdot \frac{t}{0.2})

y^{^{''}} - \frac{1}{2} y^{^{'}} - 1 = 0, y (0) = 100, y (3) = 10

\frac{1}{2} y^{^{''}} + 2 y = 3 tan (2 t) - \frac{1}{2} e^{2 t}

y^{^{''}} + 4 y^{^{'}} + y = - 9

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 6