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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{4} sin (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{4} sin (x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{1}{4} sin (x)

Graph

Beliebte Beispiele

y^{''}+14y^'+49y=e^{-7t}ln(t)

y^{^{''}} + 14 y^{^{'}} + 49 y = e^{- 7 t} ln (t)

y^{''}+y^'+y=k(e^{-t}+sin(2t))

y^{^{''}} + y^{^{'}} + y = k (e^{- t} + sin (2 t))

y^{''}-5y^'+6y=cos(t)-te^t

y^{^{''}} - 5 y^{^{'}} + 6 y = cos (t) - t e^{t}

y^{''}-y^'-12y=5e^{2x}-4

y^{^{''}} - y^{^{'}} - 12 y = 5 e^{2 x} - 4

y^{''}+4y^'+8y=x+e^x

y^{^{''}} + 4 y^{^{'}} + 8 y = x + e^{x}