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Beliebt Rechnen >

y^{''}+3y^'+2y=sec^2(e^x)

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = sec^{2} (e^{x})

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - e^{- 2 x} ln (cos (e^{x}))

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 2 y = sec^{2} (e^{x})

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - e^{- 2 x} ln (cos (e^{x}))

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - e^{- 2 x} ln (cos (e^{x}))

Graph

Beliebte Beispiele

3y^{''}+y^'-2y=x^2-3x+7

3 y^{^{''}} + y^{^{'}} - 2 y = x^{2} - 3 x + 7

y^{'''}+y^'-10y=xe^{2x}

y^{^{'''}} + y^{^{'}} - 10 y = x e^{2 x}

y^{''}-2y^'+y=e^xsin(x)

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

y^{''}+2y^'+y=21e^{-t}

y^{^{''}} + 2 y^{^{'}} + y = 21 e^{- t}

y^{''}-2y^'+y=8e^x-1/6 x^3+3x

y^{^{''}} - 2 y^{^{'}} + y = 8 e^{x} - \frac{1}{6} x^{3} + 3 x