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

Lösung

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

y = - \frac{cos ( 2 x )}{2 e ^{x} x} + \frac{c _{1}}{e ^{x} x}

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{cos ( 2 x )}{2 e ^{x} x} + \frac{c _{1}}{e ^{x} x}

y = - \frac{cos ( 2 x )}{2 e ^{x} x} + \frac{c _{1}}{e ^{x} x}

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