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Beliebt Rechnen >

5y^{''}-2y^'+80y=24sin(4t)

Lösung

5 y^{^{''}} - 2 y^{^{'}} + 80 y = 24 sin (4 t)

Lösung

y = e^{\frac{t}{5}} (c_{1} cos (\frac{399 t}{5}) + c_{2} sin (\frac{399 t}{5})) + 3 cos (4 t)

Schritte zur Lösung

5 y^{''} (t) - 2 y^{'} (t) + 80 y = 24 sin (4 t)

Solve linear ODE:

y = e^{\frac{t}{5}} (c_{1} cos (\frac{399 t}{5}) + c_{2} sin (\frac{399 t}{5})) + 3 cos (4 t)

y = e^{\frac{t}{5}} (c_{1} cos (\frac{399 t}{5}) + c_{2} sin (\frac{399 t}{5})) + 3 cos (4 t)

Graph

Beliebte Beispiele

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

x^{''}+x^'=e^{-t}

x^{^{''}} + x^{^{'}} = e^{- t}

y^{''}+49y=8cos(7x)(3x+2)

y^{^{''}} + 49 y = 8 cos (7 x) (3 x + 2)

y^{''}+y^'-6y=t-2pi,y(0)=1,y^'(0)=2

y^{^{''}} + y^{^{'}} - 6 y = t - 2 π, y (0) = 1, y^{^{'}} (0) = 2

- v y^{^{''}} - a y = c