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Beliebt Rechnen >

y^'=(2x^4e^{y/x}+x^2y^2)/(x^3y)

Lösung

y^{^{'}} = \frac{2 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

Lösung

y = - W (\frac{2 ln ( x ) + c _{1}}{e}) x - x

Schritte zur Lösung

y^{'} (x) = \frac{2 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

Solve using substitution:

y = - W (\frac{2 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{2 ln ( x ) + c _{1}}{e}) x - x

Beliebte Beispiele

integral of-(sin(2x))/4

y^{''}+y^'+y=cos(t)

integral of (7x^6+2)/(x^7+2x)

integral from-2 to-1 of (u-1/(u^2))