(d^2y)/(dx^2)+4y=cos(2x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + 4 y = cos (2 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{4}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 4 y = cos (2 x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{4}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x sin ( 2 x )}{4}

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 2 y = cos (x)

y^{^{''}} - y^{^{'}} = 3 - 2 x, y (0) = - 1, y^{^{'}} (0) = - 1

y^{^{''}} - 25 y = e^{x}

y^{^{''}} - 14 y^{^{'}} + 45 y = 360 x^{2} - 224 x + 16

y^{^{''}} + 5 y^{^{'}} + 4 y = sec (x)