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Beliebt Rechnen >

x^{''}+16x=14cos(3t)

Lösung

x^{^{''}} + 16 x = 14 cos (3 t)

Lösung

x = c_{1} cos (4 t) + c_{2} sin (4 t) + 2 cos (3 t)

Schritte zur Lösung

x^{''} (t) + 16 x = 14 cos (3 t)

Solve linear ODE:

x = c_{1} cos (4 t) + c_{2} sin (4 t) + 2 cos (3 t)

x = c_{1} cos (4 t) + c_{2} sin (4 t) + 2 cos (3 t)

Graph

Beliebte Beispiele

y^{''}-2y^'+y=t*e^t

y^{^{''}} - 2 y^{^{'}} + y = t \cdot e^{t}

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

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

(D^2-D-2)y=6e^{(-t)/2}

(D^{2} - D - 2) y = 6 e^{\frac{- t}{2}}

y^{''}+y^'=2sin(t),y(0)=0,y^'(0)=-4

y^{^{''}} + y^{^{'}} = 2 sin (t), y (0) = 0, y^{^{'}} (0) = - 4

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

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