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Beliebt Rechnen >

y^{''}+y=sin(3x)

Lösung

y^{^{''}} + y = sin (3 x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - \frac{1}{8} sin (3 x)

Schritte zur Lösung

y^{''} (x) + y = sin (3 x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - \frac{1}{8} sin (3 x)

y = c_{1} cos (x) + c_{2} sin (x) - \frac{1}{8} sin (3 x)

Graph

Beliebte Beispiele

y^{'''}-6y^{''}+12y^'-8y=16e^{-2t}

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = 16 e^{- 2 t}

y^{''}-2y^'=cos(4x)

y^{^{''}} - 2 y^{^{'}} = cos (4 x)

4y^{''}-y=12+6x

4 y^{^{''}} - y = 12 + 6 x

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

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

y^{''}-3y^'=8e^{2t}-2e^{-t}

y^{^{''}} - 3 y^{^{'}} = 8 e^{2 t} - 2 e^{- t}