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Beliebt Rechnen >

y^{''}+5y^'-9y=e^{4x}

Lösung

y^{^{''}} + 5 y^{^{'}} - 9 y = e^{4 x}

Lösung

y = c_{1} e^{\frac{( - 5 + 61 ) x}{2}} + c_{2} e^{\frac{( - 5 - 61 ) x}{2}} + \frac{1}{27} e^{4 x}

Schritte zur Lösung

y^{''} (x) + 5 y^{'} (x) - 9 y = e^{4 x}

Solve linear ODE:

y = c_{1} e^{\frac{( - 5 + 61 ) x}{2}} + c_{2} e^{\frac{( - 5 - 61 ) x}{2}} + \frac{1}{27} e^{4 x}

y = c_{1} e^{\frac{( - 5 + 61 ) x}{2}} + c_{2} e^{\frac{( - 5 - 61 ) x}{2}} + \frac{1}{27} e^{4 x}

Graph

Beliebte Beispiele

D(x)=(x-11/2)^2+x

D (x) = (x - \frac{11}{2})^{2} + x

y^{''}-7y^'-18y=-x+cos(3x)

y^{^{''}} - 7 y^{^{'}} - 18 y = - x + cos (3 x)

y^{''}-4y^'+4y=2xe^x

y^{^{''}} - 4 y^{^{'}} + 4 y = 2 x e^{x}

y^{''}-y= 1/(cosh(x))

y^{^{''}} - y = \frac{1}{cosh ( x )}

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

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