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Beliebt Rechnen >

y^{''}-12y^'+36y=(x+1)e^x

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = (x + 1) e^{x}

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{e ^{x} x}{25} + \frac{7}{125} e^{x}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = (x + 1) e^{x}

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{e ^{x} x}{25} + \frac{7}{125} e^{x}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{e ^{x} x}{25} + \frac{7}{125} e^{x}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=(e^{-t})/(t+1)

y^{^{''}} + 2 y^{^{'}} + y = \frac{e ^{- t}}{t + 1}

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

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

4y^{''}+16y=sin(x)+2cos(x)

4 y^{^{''}} + 16 y = sin (x) + 2 cos (x)

y^{''}+y=xsin(x),y(0)=1,y^'(0)=0

y^{^{''}} + y = x sin (x), y (0) = 1, y^{^{'}} (0) = 0

y^{'''}-2y^{''}-y^'+2y=-8ex+6e-x

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