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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- 2 x} - \frac{e ^{- 2 x} x}{2} + \frac{1}{5} sin (x) + \frac{2}{5} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} - \frac{e ^{- 2 x} x}{2} + \frac{1}{5} sin (x) + \frac{2}{5} cos (x)

y = c_{1} + c_{2} e^{- 2 x} - \frac{e ^{- 2 x} x}{2} + \frac{1}{5} sin (x) + \frac{2}{5} cos (x)

Graph

Beliebte Beispiele

y^{''}-y=5,e^{-4x}+2xy(0)=0

y^{^{''}} - y = 5, e^{- 4 x} + 2 x y (0) = 0

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

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

36y^{''}-y=(xe^x)/6

36 y^{^{''}} - y = \frac{x e ^{x}}{6}

y^{''}-5y^'-50y=5+3t

y^{^{''}} - 5 y^{^{'}} - 50 y = 5 + 3 t

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

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