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Beliebt Rechnen >

y^'=((3x^6e^{y/x}+x^4y^2))/(x^5y)

Lösung

y^{^{'}} = \frac{( 3 x ^{6} e ^{\frac{y}{x}} + x ^{4} y ^{2} )}{x ^{5} y}

Lösung

y = - W (\frac{3 ln ( x ) + c _{1}}{e}) x - x

Schritte zur Lösung

y^{'} (x) = \frac{( 3 x ^{6} e ^{\frac{y}{x}} + x ^{4} y ^{2} )}{x ^{5} y}

Solve using substitution:

y = - W (\frac{3 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{3 ln ( x ) + c _{1}}{e}) x - x

Beliebte Beispiele

(dy)/(dt)=t\sqrt[3]{y}

\frac{d y}{d t} = t 3 y

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

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