What is expand (2y-1/x)dx+(2x+1/y)dy ?

The solution to expand (2y-1/x)dx+(2x+1/y)dy is 2ydx-(dx)/x+2xdy+(dy)/y

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

expand

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

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

Solution steps

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

Expand

d x (2 y - \frac{1}{x}) : 2 y d x - \frac{d x}{x}

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

Expand

d y (2 x + \frac{1}{y}) : 2 x d y + \frac{d y}{y}

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

sin (\frac{8 π}{3} - π x)

(2 x + 3 y = 20,) (x - 2 y = 3)

x^{2} (x - 9)^{5} d x

[(t + 1)^{2} + e^{t - 2}] U (t - 2)

(D + x) (D + 1) e^{x}

What is expand (2y-1/x)dx+(2x+1/y)dy ?
The solution to expand (2y-1/x)dx+(2x+1/y)dy is 2ydx-(dx)/x+2xdy+(dy)/y