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Beliebt Rechnen >

y^{''}+2y^'-3y=12e^x-6

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = 12 e^{x} - 6

Lösung

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

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 3 y = 12 e^{x} - 6

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

1q^{''}+8q^'+1/(0.05)q=80t

1 q^{^{''}} + 8 q^{^{'}} + \frac{1}{0.05} q = 80 t

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

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

y^{''}-5y^'+6y=e^t,y(0)=1,y^'(0)=1

y^{^{''}} - 5 y^{^{'}} + 6 y = e^{t}, y (0) = 1, y^{^{'}} (0) = 1

(d^2y)/(dx^2)-8(dy)/(dx)+2y=xe^x

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 2 y = x e^{x}

y^{'''}-16y^'=t(e^{4t})

y^{^{'''}} - 16 y^{^{'}} = t (e^{4 t})