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Beliebt Rechnen >

y^{''}+3y^'+2y=4e^x

Lösung

y^{^{''}} + 3 y^{^{'}} + 2 y = 4 e^{x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + 3 y^{'} (x) + 2 y = 4 e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

x^{^{''}} - x = 1

2y^{''}-4y^'+4y=e^xtan(x)sec(x)

2 y^{^{''}} - 4 y^{^{'}} + 4 y = e^{x} tan (x) sec (x)

x^{''}+49x=99cos(4t)

x^{^{''}} + 49 x = 99 cos (4 t)

y^{''}-8y^'+20y=100x^2-65

y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2} - 65