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Beliebt Rechnen >

x^{''}+9.8x=cos(2t)

Lösung

x^{^{''}} + 9.8 x = cos (2 t)

Lösung

x = c_{1} cos (\frac{7 t}{5}) + c_{2} sin (\frac{7 t}{5}) + \frac{5}{29} cos (2 t)

Schritte zur Lösung

x^{''} (t) + 9.8 x = cos (2 t)

Solve linear ODE:

x = c_{1} cos (\frac{7 t}{5}) + c_{2} sin (\frac{7 t}{5}) + \frac{5}{29} cos (2 t)

x = c_{1} cos (\frac{7 t}{5}) + c_{2} sin (\frac{7 t}{5}) + \frac{5}{29} cos (2 t)

Graph

Beliebte Beispiele

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

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

y^{''}-6y^'+8y=2,y(0)=0,y^'(0)=0

y^{^{''}} - 6 y^{^{'}} + 8 y = 2, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-3y^'+2y=-2x

y^{^{''}} - 3 y^{^{'}} + 2 y = - 2 x

y^{''}-5y^'+6y=12x-4

y^{^{''}} - 5 y^{^{'}} + 6 y = 12 x - 4

y^{''}-2y^'-3y=12e^{3x}

y^{^{''}} - 2 y^{^{'}} - 3 y = 12 e^{3 x}