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Beliebt Rechnen >

y^{'''}-24y^{''}+192y^'-512y=e^{8x}

Lösung

y^{^{'''}} - 24 y^{^{''}} + 192 y^{^{'}} - 512 y = e^{8 x}

Lösung

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

Schritte zur Lösung

y^{'''} (x) - 24 y^{''} (x) + 192 y^{'} (x) - 512 y = e^{8 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}+18y^{''}-864y=e^{-12x}

y^{^{'''}} + 18 y^{^{''}} - 864 y = e^{- 12 x}

y^{''}+4y=2sin(2t)+t

y^{^{''}} + 4 y = 2 sin (2 t) + t

y^{''}+9y^'+14y=e^{-x}

y^{^{''}} + 9 y^{^{'}} + 14 y = e^{- x}

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

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

solvefor d,d(t)=5t^2+10-12

so l v e f or d, d (t) = 5 t^{2} + 10 - 12