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Beliebt Rechnen >

4x^{''}+85x=cos(6t)

Lösung

4 x^{^{''}} + 85 x = cos (6 t)

Lösung

x = c_{1} cos (\frac{85 t}{2}) + c_{2} sin (\frac{85 t}{2}) - \frac{1}{59} cos (6 t)

Schritte zur Lösung

4 x^{''} (t) + 85 x = cos (6 t)

Solve linear ODE:

x = c_{1} cos (\frac{85 t}{2}) + c_{2} sin (\frac{85 t}{2}) - \frac{1}{59} cos (6 t)

x = c_{1} cos (\frac{85 t}{2}) + c_{2} sin (\frac{85 t}{2}) - \frac{1}{59} cos (6 t)

Graph

Beliebte Beispiele

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

y^{''}+4y=g(x),y(0)=1,y^'(0)=3

y^{^{''}} + 4 y = g (x), y (0) = 1, y^{^{'}} (0) = 3

y^{''}+4y^'-5y=10x^2+9e^x

y^{^{''}} + 4 y^{^{'}} - 5 y = 10 x^{2} + 9 e^{x}

(d-1)^2(d-3)^3y=e^3x

(d - 1)^{2} (d - 3)^{3} y = e^{3} x

y^{''}+y^'-6y=50xe^x

y^{^{''}} + y^{^{'}} - 6 y = 50 x e^{x}