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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

integral of ln^5(x)

\int ln^{5} (x) d x

limit as x approaches 10+of 1/((x-10)^2)

x \to 10 + lim (\frac{1}{( x - 10 ) ^{2}})

integral from-5 to 5 of (x-sqrt(25-x^2))

\int_{- 5}^{5} (x - 25 - x^{2}) d x

derivative of 1/(3+(2x+1^2))

\frac{d}{d x} (\frac{1}{3 + ( 2 x + 1 ) ^{2}})

cos(t)y^'+sin(t)y-1=0

cos (t) y^{^{'}} + sin (t) y - 1 = 0