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Beliebt Rechnen >

y^{''}+y^'-27=xe^x

Lösung

y^{^{''}} + y^{^{'}} - 27 = x e^{x}

Lösung

y = c_{1} + c_{2} e^{- x} + \frac{e ^{x} x}{2} - \frac{3}{4} e^{x} + 27 x

Schritte zur Lösung

y^{''} (x) + y^{'} (x) - 27 = x e^{x}

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + \frac{e ^{x} x}{2} - \frac{3}{4} e^{x} + 27 x

y = c_{1} + c_{2} e^{- x} + \frac{e ^{x} x}{2} - \frac{3}{4} e^{x} + 27 x

Graph

Beliebte Beispiele

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

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

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 )}