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Beliebt Rechnen >

2y^{''}+3y^'-2y=6x^2+5x-8

Lösung

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 6 x^{2} + 5 x - 8

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 3 x^{2} - \frac{23 x}{2} - \frac{77}{4}

Schritte zur Lösung

2 y^{''} (x) + 3 y^{'} (x) - 2 y = 6 x^{2} + 5 x - 8

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 3 x^{2} - \frac{23 x}{2} - \frac{77}{4}

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 2 x} - 3 x^{2} - \frac{23 x}{2} - \frac{77}{4}

Graph

Beliebte Beispiele

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

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

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

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

y^{''}-2y^'-3y=8e^x-9

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e^{x} - 9

5y^{''}-10y^'+10y=e^xsec(x)

5 y^{^{''}} - 10 y^{^{'}} + 10 y = e^{x} sec (x)

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

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