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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 4 x} - \frac{1}{20} sin (2 x) - \frac{1}{10} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 4 x} - \frac{1}{20} sin (2 x) - \frac{1}{10} cos (2 x)

y = c_{1} + c_{2} e^{- 4 x} - \frac{1}{20} sin (2 x) - \frac{1}{10} cos (2 x)

Graph

Beliebte Beispiele

(D^2+13D+13)x=12t^2+2t-cos(t)

(D^{2} + 13 D + 13) x = 12 t^{2} + 2 t - cos (t)

y^{''}-6y^'+9y=t,y(0)=0,y^'(0)=0

y^{^{''}} - 6 y^{^{'}} + 9 y = t, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-y=xe^{x/2}

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

y^{''}+9y=e^{2x}+x^2sin(x)

y^{^{''}} + 9 y = e^{2 x} + x^{2} sin (x)

y^{''}+6y^'+8y=2t+e^t

y^{^{''}} + 6 y^{^{'}} + 8 y = 2 t + e^{t}