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Beliebt Rechnen >

xy^'-y=(x^2)/y e^{y/x}

Lösung

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

Lösung

y = - W (\frac{ln ( x ) + c _{1}}{e}) x - x

Schritte zur Lösung

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

Solve using substitution:

y = - W (\frac{ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{ln ( x ) + c _{1}}{e}) x - x

Beliebte Beispiele

tangent y=x^3-2x+2,(3,23)

t an g e n t y = x^{3} - 2 x + 2, (3, 23)

y^{''}+6y^'+25y=0

y^{^{''}} + 6 y^{^{'}} + 25 y = 0

derivative of 1+7sin(x-tan(x))

\frac{d}{d x} (1 + 7 sin (x) - tan (x))

derivative of (x^2-9^{1/2})

\frac{d}{d x} ((x^{2} - 9)^{\frac{1}{2}})

sum from n=1 to infinity of (-2/3)^n

n = 1 \sum \infty (- \frac{2}{3})^{n}