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Beliebt Rechnen >

y^'=(2x^7e^{y/x}+x^5y^2)/(x^6y)

Lösung

y^{^{'}} = \frac{2 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2}}{x ^{6} y}

Lösung

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

Schritte zur Lösung

y^{'} (x) = \frac{2 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2}}{x ^{6} 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

(dy)/(dt)=1y,y(1)=3

\frac{d y}{d t} = 1 y, y (1) = 3

derivative of 3x^3+5x^2-4x+10

\frac{d}{d x} (3 x^{3} + 5 x^{2} - 4 x + 10)

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\int tan^{2} (6 x) sec^{4} (6 x) d x

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\int_{0}^{6} 9 4 x + 1 d x