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Beliebt Rechnen >

y^{''}+(9-2)y^'-2(9)y=8e^{2x}

Lösung

y^{^{''}} + (9 - 2) y^{^{'}} - 2 (9) y = 8 e^{2 x}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 9 x} + \frac{8 e ^{2 x} x}{11}

Schritte zur Lösung

y^{''} (x) + (9 - 2) y^{'} (x) - 2 (9) y = 8 e^{2 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 9 x} + \frac{8 e ^{2 x} x}{11}

y = c_{1} e^{2 x} + c_{2} e^{- 9 x} + \frac{8 e ^{2 x} x}{11}

Graph

Beliebte Beispiele

y^{''}+y-pi/2 =0

y^{^{''}} + y - \frac{π}{2} = 0

y^{^{''}} + y^{^{'}} + x = 0

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

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

2y^{''}-7y^'+5y=11-7x-16x^2+5x^3

2 y^{^{''}} - 7 y^{^{'}} + 5 y = 11 - 7 x - 16 x^{2} + 5 x^{3}

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