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Beliebt Rechnen >

10y^{''}+1000y=140cos(8t),y(0)=0,y^'(0)=0

Lösung

10 y^{^{''}} + 1000 y = 140 cos (8 t), y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = \frac{7}{18} cos (8 t) - \frac{7}{18} cos (10 t)

Schritte zur Lösung

10 y^{''} (t) + 1000 y = 140 cos (8 t)

Solve linear ODE:

y = \frac{7}{18} cos (8 t) - \frac{7}{18} cos (10 t)

y = \frac{7}{18} cos (8 t) - \frac{7}{18} cos (10 t)

Graph

Beliebte Beispiele

y^{''}+9y=2t^2-4,y(0)=0,y^'(0)=-4

y^{^{''}} + 9 y = 2 t^{2} - 4, y (0) = 0, y^{^{'}} (0) = - 4

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

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

y^{''}-4y^'+4y=e^{3x}

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{3 x}

y^{''}-8y^'-9y=21e^2t

y^{^{''}} - 8 y^{^{'}} - 9 y = 21 e^{2} t

y^{''}+4y^'=3*sin(2x)

y^{^{''}} + 4 y^{^{'}} = 3 \cdot sin (2 x)