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Beliebt Rechnen >

x^{''}+23.04x=2cos(5t)

Lösung

x^{^{''}} + 23.04 x = 2 cos (5 t)

Lösung

x = c_{1} cos (\frac{24 t}{5}) + c_{2} sin (\frac{24 t}{5}) - \frac{50}{49} cos (5 t)

Schritte zur Lösung

x^{''} (t) + 23.04 x = 2 cos (5 t)

Solve linear ODE:

x = c_{1} cos (\frac{24 t}{5}) + c_{2} sin (\frac{24 t}{5}) - \frac{50}{49} cos (5 t)

x = c_{1} cos (\frac{24 t}{5}) + c_{2} sin (\frac{24 t}{5}) - \frac{50}{49} cos (5 t)

Graph

Beliebte Beispiele

y^{''}+4y=9,ty(0)=0,y^'(0)=7

y^{^{''}} + 4 y = 9, t y (0) = 0, y^{^{'}} (0) = 7

y^{''}+8y^'+12y=1-\H(t)

y^{^{''}} + 8 y^{^{'}} + 12 y = 1 - H (t)

y^{'''}-11y^{''}+28y^'=36e^x,y(0)=25

y^{^{'''}} - 11 y^{^{''}} + 28 y^{^{'}} = 36 e^{x}, y (0) = 25

y^{''}-2y^'+5y=exsin(x)

y^{^{''}} - 2 y^{^{'}} + 5 y = e x sin (x)

x^{''}-5x^'+6x=2e^t

x^{^{''}} - 5 x^{^{'}} + 6 x = 2 e^{t}