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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} - \frac{3}{25} sin (2 x) - \frac{4}{25} cos (2 x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} - \frac{3}{25} sin (2 x) - \frac{4}{25} cos (2 x)

y = c_{1} e^{- x} + c_{2} x e^{- x} - \frac{3}{25} sin (2 x) - \frac{4}{25} cos (2 x)

Graph

Beliebte Beispiele

derivative of {r}(θ,xcos(θ))

\frac{d}{d x} (r (θ, x) cos (θ))

derivative sin(u)

d er i v a t i v e sin (u)

derivative-(2x)/((x^2+1)^2)

d er i v a t i v e - \frac{2 x}{( x ^{2} + 1 ) ^{2}}

integral of x^3cos(2x)

\int x^{3} cos (2 x) d x

derivative (e^x+e^{-x})/2

d er i v a t i v e \frac{e ^{x} + e ^{- x}}{2}