Consider the following differential equation: x (ydx + xdy) \cos ⁡\frac{y}{x} = y (xdy−ydx) \sin ⁡\frac{y}{x} Which of the following is the solution of the above equation ( c is an arbitrary constant)?

Correct Answer is : xycos⁡yx=c

\frac{x}{y}\cos ⁡\frac{y}{x} = c

\frac{x}{y} \sin ⁡\frac{y}{x} = c

GATE Civil Engineering (CE) 2015 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

Consider the following differential equation:

x (ydx + xdy) \cos ⁡\;{y}/{x} = y (xdy−ydx) sin \;⁡\;{y}/{x}

Which of the following is the solution of the above equation (c is an arbitrary constant)?

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