Question

Solve the differential equation xcos(\frac{y}{x})(ydx + xdy) = ysin(\frac{y}{x})(xdy - ydx).
 

13 Feb 2018
Answer :
Word Count : 165
Let's simplify and solve the given differential equation: \[ x \cos\left(\frac{y}{x}\right)\left(y dx + x dy\right) = y \sin\left(\frac{y}{x}\right)\left(x dy - y dx\right) \] ### Step 1: Rewrite the equation First, distribute the terms on both sides: \[ x \cos\left(\frac{y}{x}\right) y dx
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