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Beliebt Rechnen >

y^{''}-2y^'+5y=8sin(x)-4cos(x)

Lösung

y^{^{''}} - 2 y^{^{'}} + 5 y = 8 sin (x) - 4 cos (x)

Lösung

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 2 sin (x)

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + 5 y = 8 sin (x) - 4 cos (x)

Solve linear ODE:

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 2 sin (x)

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 2 sin (x)

Graph

Beliebte Beispiele

y^{''}+9y=sin^4(x)

y^{^{''}} + 9 y = sin^{4} (x)

(d^2x)/(dt^2)+4(dx)/(dt)+4x=7-2t^2

\frac{d ^{2} x}{d t ^{2}} + 4 \frac{d x}{d t} + 4 x = 7 - 2 t^{2}

y^{''}+4y=sin(3t)

y^{^{''}} + 4 y = sin (3 t)

y^{''''}-y=3t+cos(t)

y^{^{''''}} - y = 3 t + cos (t)

y^{''}+2y^'+5y=1+e^x

y^{^{''}} + 2 y^{^{'}} + 5 y = 1 + e^{x}