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Beliebt Rechnen >

y^{''}+1/10 y=-4/5 cos(3t)

Lösung

y^{^{''}} + \frac{1}{10} y = - \frac{4}{5} cos (3 t)

Lösung

y = c_{1} cos (\frac{t}{10}) + c_{2} sin (\frac{t}{10}) + \frac{8}{89} cos (3 t)

Schritte zur Lösung

y^{''} (t) + \frac{1}{10} y = - \frac{4}{5} cos (3 t)

Solve linear ODE:

y = c_{1} cos (\frac{t}{10}) + c_{2} sin (\frac{t}{10}) + \frac{8}{89} cos (3 t)

y = c_{1} cos (\frac{t}{10}) + c_{2} sin (\frac{t}{10}) + \frac{8}{89} cos (3 t)

Graph

Beliebte Beispiele

y^{''}-y=sec(x),y(0)=1,y^'(0)=0

y^{^{''}} - y = sec (x), y (0) = 1, y^{^{'}} (0) = 0

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

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

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

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

x^{''}-x=3e^{-2t}

x^{^{''}} - x = 3 e^{- 2 t}

y^{''''}-y=7t+cos(t)

y^{^{''''}} - y = 7 t + cos (t)