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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{\frac{( - 1 + 5 ) x}{2}} + c_{3} e^{\frac{( - 1 - 5 ) x}{2}} + 2 e^{- x} - 3 x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{\frac{( - 1 + 5 ) x}{2}} + c_{3} e^{\frac{( - 1 - 5 ) x}{2}} + 2 e^{- x} - 3 x

y = c_{1} + c_{2} e^{\frac{( - 1 + 5 ) x}{2}} + c_{3} e^{\frac{( - 1 - 5 ) x}{2}} + 2 e^{- x} - 3 x

Graph

Beliebte Beispiele

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

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

y^{''}+4y= 2/(sin(2x))

y^{^{''}} + 4 y = \frac{2}{sin ( 2 x )}

3x^{''}+53x=5cos(4t)

3 x^{^{''}} + 53 x = 5 cos (4 t)

y^{''}-y^'-2y=3cos(3x)

y^{^{''}} - y^{^{'}} - 2 y = 3 cos (3 x)

25y^{''}-10y^'-2y=4e^t

25 y^{^{''}} - 10 y^{^{'}} - 2 y = 4 e^{t}