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Beliebt Rechnen >

x^{''}+49x=96cos(5t)

Lösung

x^{^{''}} + 49 x = 96 cos (5 t)

Lösung

x = c_{1} cos (7 t) + c_{2} sin (7 t) + 4 cos (5 t)

Schritte zur Lösung

x^{''} (t) + 49 x = 96 cos (5 t)

Solve linear ODE:

x = c_{1} cos (7 t) + c_{2} sin (7 t) + 4 cos (5 t)

x = c_{1} cos (7 t) + c_{2} sin (7 t) + 4 cos (5 t)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-y=xe^{2x}

\frac{d ^{2} y}{d x ^{2}} - y = x e^{2 x}

y^{''}+y^'-2y=xe^x+e^x

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

y^{''}+5y^'+4y=8x

y^{^{''}} + 5 y^{^{'}} + 4 y = 8 x

y^{''}+5y^'+6y=e^{2x}+1

y^{^{''}} + 5 y^{^{'}} + 6 y = e^{2 x} + 1

y^{''}-y^'-2y=5e^{4x}+6x

y^{^{''}} - y^{^{'}} - 2 y = 5 e^{4 x} + 6 x