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Beliebt Rechnen >

(D^3-2D^2-5D+6)y=e^{4x}

Lösung

(D^{3} - 2 D^{2} - 5 D + 6) y = e^{4 x}

Lösung

y = c_{1} e^{x} + c_{2} e^{- 2 x} + c_{3} e^{3 x} + \frac{1}{18} e^{4 x}

Schritte zur Lösung

(D^{3} - 2 D^{2} - 5 D + 6) y = e^{4 x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 2 x} + c_{3} e^{3 x} + \frac{1}{18} e^{4 x}

y = c_{1} e^{x} + c_{2} e^{- 2 x} + c_{3} e^{3 x} + \frac{1}{18} e^{4 x}

Graph

Beliebte Beispiele

10y^{''}+20y^'+6260y=100

10 y^{^{''}} + 20 y^{^{'}} + 6260 y = 100

y^{''}+2y^'-8y=24e^{2t}

y^{^{''}} + 2 y^{^{'}} - 8 y = 24 e^{2 t}

(d^2y)/(dx^2)-5(dy)/(dx)+6y=x^3+x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 6 y = x^{3} + x

y^{''}+10y^'+16=0

y^{^{''}} + 10 y^{^{'}} + 16 = 0

y^{''}+153.06y^'+12739.6y=191094.97

y^{^{''}} + 153.06 y^{^{'}} + 12739.6 y = 191094.97