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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+36y=60sin(6t)

y^{^{''}} + 36 y = 60 sin (6 t)

(d^2x)/(dt^2)+2(dx)/(dt)+2x=2

\frac{d ^{2} x}{d t ^{2}} + 2 \frac{d x}{d t} + 2 x = 2

(d^2y)/(dx^2)+(dy)/(dx)-y=xsinh(x)

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - y = x sinh (x)

linear y^{''}+y=sin(x)

l in e a r y^{^{''}} + y = sin (x)

y^{'''}+12y^{''}+48y^'+64y=4e^{-4x}

y^{^{'''}} + 12 y^{^{''}} + 48 y^{^{'}} + 64 y = 4 e^{- 4 x}