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Beliebt Rechnen >

y^{''}-4y^'=8e^6x(x-1)

Lösung

y^{^{''}} - 4 y^{^{'}} = 8 e^{6} x (x - 1)

Lösung

y = c_{1} e^{4 x} + c_{2} - \frac{2 e ^{6} x ^{3}}{3} + \frac{e ^{6} x ^{2}}{2} + \frac{e ^{6} x}{4}

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) = 8 e^{6} x (x - 1)

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} - \frac{2 e ^{6} x ^{3}}{3} + \frac{e ^{6} x ^{2}}{2} + \frac{e ^{6} x}{4}

y = c_{1} e^{4 x} + c_{2} - \frac{2 e ^{6} x ^{3}}{3} + \frac{e ^{6} x ^{2}}{2} + \frac{e ^{6} x}{4}

Graph

Beliebte Beispiele

y^{''}+64y=sin(8x)

y^{''}+6y=t^4,y(0)=0,y^'(0)=0

(D^2+2D-8)y=(6x^{-1}-x^{-2})e^{2x}

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

y^{''}-y=5,e^{-4x}+2xy(0)=0