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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y^'=e^t*cos(t)

y^{^{''}} + y^{^{'}} = e^{t} \cdot cos (t)

y^{''}-(2+1)^2y=e^{28t}+sin(2+1)t

y^{^{''}} - (2 + 1)^{2} y = e^{28 t} + sin (2 + 1) t

y^{''}-y^'-2y=2x+7

y^{^{''}} - y^{^{'}} - 2 y = 2 x + 7

y^{''''}+12y^{''}+36=0

y^{^{''''}} + 12 y^{^{''}} + 36 = 0

y^{''}-10y^'+25y=6x^2e^{5x}

y^{^{''}} - 10 y^{^{'}} + 25 y = 6 x^{2} e^{5 x}