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Beliebt Rechnen >

y^{''}+9y=cos(9x)

Lösung

y^{^{''}} + 9 y = cos (9 x)

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{1}{72} cos (9 x)

Schritte zur Lösung

y^{''} (x) + 9 y = cos (9 x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{1}{72} cos (9 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) - \frac{1}{72} cos (9 x)

Graph

Beliebte Beispiele

y^{''}-y^'-6y=32cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 32 cos (3 x)

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

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

y^{''}-2y^'+2y=e^{-t},y(0)=0,y^'(0)=3

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 3

y^{''}-5y^'-6y=10,y(0)=2,y^'(0)=1

y^{^{''}} - 5 y^{^{'}} - 6 y = 10, y (0) = 2, y^{^{'}} (0) = 1

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

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