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Beliebt Rechnen >

y^{''}+y^'-2y=9e^x-2

Lösung

y^{^{''}} + y^{^{'}} - 2 y = 9 e^{x} - 2

Lösung

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

Schritte zur Lösung

y^{''} (x) + y^{'} (x) - 2 y = 9 e^{x} - 2

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2x)/(dt^2)+3(dx)/(dt)+2x=2e^{-3t}

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 2 x = 2 e^{- 3 t}

y^{''}-y^'-6y=19sin(3x)

y^{^{''}} - y^{^{'}} - 6 y = 19 sin (3 x)

x^{''}-3x^'+2x=t^2e^t

x^{^{''}} - 3 x^{^{'}} + 2 x = t^{2} e^{t}

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

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

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

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