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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- \frac{x}{2}} + c_{2} e^{x} + c_{3} x e^{x} + x^{2} + x + 6

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- \frac{x}{2}} + c_{2} e^{x} + c_{3} x e^{x} + x^{2} + x + 6

y = c_{1} e^{- \frac{x}{2}} + c_{2} e^{x} + c_{3} x e^{x} + x^{2} + x + 6

Graph

Beliebte Beispiele

y^{''}+4y^'+5y=50x+13e^{3x}

y^{^{''}} + 4 y^{^{'}} + 5 y = 50 x + 13 e^{3 x}

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

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

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

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

y^{'''}-y^'=10sin(3x)

y^{^{'''}} - y^{^{'}} = 10 sin (3 x)

y^{''}+4y^'+4y=2e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = 2 e^{- 2 x}