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Beliebt Rechnen >

2y^{''}+6y^'=10sin(7t)

Lösung

2 y^{^{''}} + 6 y^{^{'}} = 10 sin (7 t)

Lösung

y = c_{1} + c_{2} e^{- 3 t} - \frac{5}{58} sin (7 t) - \frac{15}{406} cos (7 t)

Schritte zur Lösung

2 y^{''} (t) + 6 y^{'} (t) = 10 sin (7 t)

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} - \frac{5}{58} sin (7 t) - \frac{15}{406} cos (7 t)

y = c_{1} + c_{2} e^{- 3 t} - \frac{5}{58} sin (7 t) - \frac{15}{406} cos (7 t)

Graph

Beliebte Beispiele

y^{''}+4y=16t^3sin(2t)

y^{^{''}} + 4 y = 16 t^{3} sin (2 t)

y^{''}+11y^'+18y=5

y^{^{''}} + 11 y^{^{'}} + 18 y = 5

y^{''}-y^'+14y=2+e^{x/2}

y^{^{''}} - y^{^{'}} + 14 y = 2 + e^{\frac{x}{2}}

y^{''}+4y=t^2sin(2t)+(6t+7)cos(2t)

y^{^{''}} + 4 y = t^{2} sin (2 t) + (6 t + 7) cos (2 t)

x^{''}+25x=t^2+t

x^{^{''}} + 25 x = t^{2} + t