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Beliebt Rechnen >

(d^2y)/(dx^2)+36y=288sin(6x)+96cos(6x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + 36 y = 288 sin (6 x) + 96 cos (6 x)

Lösung

y = c_{1} cos (6 x) + c_{2} sin (6 x) + 8 x sin (6 x) - 24 x cos (6 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 36 y = 288 sin (6 x) + 96 cos (6 x)

Solve linear ODE:

y = c_{1} cos (6 x) + c_{2} sin (6 x) + 8 x sin (6 x) - 24 x cos (6 x)

y = c_{1} cos (6 x) + c_{2} sin (6 x) + 8 x sin (6 x) - 24 x cos (6 x)

Graph

Beliebte Beispiele

y^{''}+y=sec(x)+tan(x)

y^{^{''}} + y = sec (x) + tan (x)

y^{''}-y=e^{2x}*e^{e^x}

y^{^{''}} - y = e^{2 x} \cdot e^{e^{x}}

y^{''}+9y=4((u^5)/3 pi-\H(13/3)pi)

y^{^{''}} + 9 y = 4 (\frac{u ^{5}}{3} π - H (\frac{13}{3}) π)

y^{''}-y=13t,y(0)=-13t

y^{^{''}} - y = 13 t, y (0) = - 13 t

y^{''}+y=sqrt(2)sin(sqrt(2)t),y^'(0)=10

y^{^{''}} + y = 2 sin (2 t), y^{^{'}} (0) = 10