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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral from 1 to 2 of 3/(sqrt(4x-x^2))

\int_{1}^{2} \frac{3}{4 x - x ^{2}} d x

tangent f(x)=sqrt(x-4),\at x=13

t an g e n t f (x) = x - 4, at x = 13

y^{^{'}} = - \frac{2 x}{y}

(dy)/(dx)=(8x)/(5y)

\frac{d y}{d x} = \frac{8 x}{5 y}

integral of (x^2+4)^2

\int (x^{2} + 4)^{2} d x