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Beliebt Rechnen >

xy^'+2y=(sin(x))/x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{'}} = 7 x e^{y}

limit as k approaches 0 of (x^2k+3xk^2+k^3)/(2xk+5k^2)

k \to 0 lim (\frac{x ^{2} k + 3 x k ^{2} + k ^{3}}{2 x k + 5 k ^{2}})

derivative of (1+x/(1+e^x))

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

f (x) = sin (5 x)

limit as x approaches-3 of-x^2+6x-2

x \to - 3 lim (- x^{2} + 6 x - 2)