What is expand (2+y/(x^2))dy ?

The solution to expand (2+y/(x^2))dy is 2dy+(ydy)/(x^2)

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expand (2+y/(x^2))dy

expand

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

2 d y + \frac{y d y}{x ^{2}}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = d y, b = 2, c = \frac{y}{x ^{2}}

= d y \cdot 2 + d y \frac{y}{x ^{2}}

= 2 d y + \frac{y}{x ^{2}} d y

Multiply

\frac{y}{x ^{2}} d y : \frac{y d y}{x ^{2}}

= 2 d y + \frac{y d y}{x ^{2}}

\frac{14 x ^{3}}{( x - 3 ) ^{2}}

\frac{( x + 1 ) ( x + 2 )}{( x - 2 ) ( x - 1 )}

\frac{( 0.2 ( 0.01 x ^{2} + 120 ) )}{x}

3 (- 7 x + 4 y = - 8)

x^{2 (2 x y^{2} + 3 y^{2})}

What is expand (2+y/(x^2))dy ?
The solution to expand (2+y/(x^2))dy is 2dy+(ydy)/(x^2)