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Beliebt Rechnen >

x^2y^{''}+xy^'+y=0

Lösung

x^{2} y^{^{''}} + x y^{^{'}} + y = 0

Lösung

y = c_{1} cos (ln (x)) + c_{2} sin (ln (x))

Schritte zur Lösung

x^{2} y^{''} (x) + x y^{'} (x) + y = 0

Solve linear ODE:

y = c_{1} cos (ln (x)) + c_{2} sin (ln (x))

y = c_{1} cos (ln (x)) + c_{2} sin (ln (x))

Graph

Beliebte Beispiele

integral of 5sec^3(x)

\int 5 sec^{3} (x) d x

derivative of e^{2x}sin(2x)

\frac{d}{d x} (e^{2 x} sin (2 x))

derivative of ((sqrt(x))/(x+1))

\frac{d}{d x} (\frac{( x )}{x + 1})

derivative of (x^2+1e^{-x})

\frac{d}{d x} ((x^{2} + 1) e^{- x})

derivative y=(7x-3)/(5x+4)+x^3

d er i v a t i v e y = \frac{7 x - 3}{5 x + 4} + x^{3}