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Beliebt Rechnen >

x^2y^{''}+xy^'-y=x^{1/2}

Lösung

x^{2} y^{^{''}} + x y^{^{'}} - y = x^{\frac{1}{2}}

Lösung

y = c_{1} x + \frac{c _{2}}{x} - \frac{4 x ^{\frac{1}{2}}}{3}

Schritte zur Lösung

x^{2} y^{''} (x) + x y^{'} (x) - y = x^{\frac{1}{2}}

Solve linear ODE:

y = c_{1} x + \frac{c _{2}}{x} - \frac{4 x ^{\frac{1}{2}}}{3}

y = c_{1} x + \frac{c _{2}}{x} - \frac{4 x ^{\frac{1}{2}}}{3}

Graph

Beliebte Beispiele

limit as x approaches infinity of (4^x+3)/(4^{x+1)}

x \to \infty lim (\frac{4 ^{x} + 3}{4 ^{x + 1}})

derivative f(x)=-2/x

d er i v a t i v e f (x) = - \frac{2}{x}

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\frac{d}{d x} (arctan (- 5 x + 1))

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d er i v a t i v e f (x) = 3 x^{2} + 5 x - 6