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+1 vote
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in Mathematics by (68.8k points)

Solve the following differential equation  [y - x cos(y/x)]dy + [y cos(y/x) - 2x sin(y/x)]dx = 0

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Best answer

Given differential equation is

[y - x cos(y/x)]dy + [y cos(y/x) - 2x sin(y/x)]dx = 0

[divide numerator and denominator by x]

which is a homogeneous differential equation as dy/dx = F(y/x)

On integrating both sides, we get

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