de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = - W (\frac{4 ln ( x ) + c _{1}}{e}) x - x

Schritte zur Lösung

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

Solve using substitution:

y = - W (\frac{4 ln ( x ) + c _{1}}{e}) x - x

y = - W (\frac{4 ln ( x ) + c _{1}}{e}) x - x

Beliebte Beispiele

integral of x^3sqrt(x^2-81)

\int x^{3} x^{2} - 81 d x

d/(dy)((y/8)^4+1/(4y^2))

\frac{d}{d y} ((\frac{y}{8})^{4} + \frac{1}{4 y ^{2}})

x^{2} y^{^{''}} - 2 y = 0

limit as x approaches 1 of cos(pi)x

x \to 1 lim (cos (π) x)

sum from n=1 to infinity of 4(2/3)^{n-1}

n = 1 \sum \infty 4 (\frac{2}{3})^{n - 1}