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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - W (\frac{5 ln ( x ) + c _{1}}{e}) x - x

Schritte zur Lösung

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

Solve using substitution:

y = - W (\frac{5 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{5 ln ( x ) + c _{1}}{e}) x - x

Beliebte Beispiele

integral of ((x+5)/(x^2+5x+6))

\int (\frac{x + 5}{x ^{2} + 5 x + 6}) d x

inverselaplace 1/(s+1/2)

in v erse l a pl a ce \frac{1}{s + \frac{1}{2}}

tangent f(x)=20(x-1)e^{-0.5x},\at x=4

t an g e n t f (x) = 20 (x - 1) e^{- 0.5 x}, at x = 4

derivative f(x)=x^2+6

d er i v a t i v e f (x) = x^{2} + 6

y^{^{''}} - 7 y^{^{'}} = 2 t