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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 4 x} - \frac{1}{10} sin (2 x) - \frac{1}{5} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 4 x} - \frac{1}{10} sin (2 x) - \frac{1}{5} cos (2 x)

y = c_{1} + c_{2} e^{- 4 x} - \frac{1}{10} sin (2 x) - \frac{1}{5} cos (2 x)

Graph

Beliebte Beispiele

y^{''}-y^'-6y=6t^2

y^{^{''}} - y^{^{'}} - 6 y = 6 t^{2}

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

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

y^{''}-y^'+y=t^2+cos(t)

y^{^{''}} - y^{^{'}} + y = t^{2} + cos (t)

y^{''}-2y^'-3y=6xe^{3x}

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x e^{3 x}

y^{''}+4y^'+3y=e^{5x}

y^{^{''}} + 4 y^{^{'}} + 3 y = e^{5 x}