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Popular >

expand (1-y)e^y(dy)/(dx)+(y^2)/(xln(x))

Solution

expand

(1 - y) e^{y} \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

Solution

e^{y} \frac{d y}{d x} - e^{y} y \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

Solution steps

(1 - y) e^{y} \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

= e^{y} (1 - y) \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

Expand

e^{y} \frac{d y}{d x} (1 - y) : e^{y} \frac{d y}{d x} - e^{y} y \frac{d y}{d x}

= e^{y} \frac{d y}{d x} - e^{y} y \frac{d y}{d x} + \frac{y ^{2}}{x ln ( x )}

Popular Examples

expand ((s+2)e^{-s})/(s(s^2+4s+3))expand

\frac{( s + 2 ) e ^{- s}}{s ( s ^{2} + 4 s + 3 )}

expand (3x-2y=1,1)(-2x+2y=-8)expand

(3 x - 2 y = 1, 1) (- 2 x + 2 y = - 8)

expand (1000000x-10000000)e^{0.001x}expand

(1000000 x - 10000000) e^{0.001 x}

expand (sqrt(x))e^{x^2}(x^2+7)^{10}expand

(x) e^{x^{2}} (x^{2} + 7)^{10}

expand (5(131+sqrt(14521)))/(22)expand

\frac{5 ( 131 + 14521 )}{22}

Frequently Asked Questions (FAQ)

What is expand (1-y)e^y(dy)/(dx)+(y^2)/(xln(x)) ?
The solution to expand (1-y)e^y(dy)/(dx)+(y^2)/(xln(x)) is e^y(dy)/(dx)-e^yy(dy)/(dx)+(y^2)/(xln(x))