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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

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

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))