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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - 2 y = e^{- 2 t} + t

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+y=2x

y^{^{''}} + 2 y^{^{'}} + y = 2 x

x^{''}+8x^'+16x=4sin(4t)

x^{^{''}} + 8 x^{^{'}} + 16 x = 4 sin (4 t)

y^{''}-6y^'+9y=t,y(0)=0,y(0)=1

y^{^{''}} - 6 y^{^{'}} + 9 y = t, y (0) = 0, y (0) = 1

y^{''}-2y^'-3y=3x-4

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 x - 4

y^{''}+2y^'=2x+5+e^{-2x}

y^{^{''}} + 2 y^{^{'}} = 2 x + 5 + e^{- 2 x}