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The differential equation \(\frac{d y}{d x}=F(x, y)\) will not be a homogeneous differential equation, if \(\mathrm{F}(\…

Q1

The differential equation \(\frac{d y}{d x}=F(x, y)\) will not be a homogeneous differential equation, if \(\mathrm{F}(\mathrm{x}, \mathrm{y})\) is :

a

\(\cos x-\sin \left(\frac{y}{x}\right)\)

b

\(\frac{y}{x}\)

c

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

d

\(\cos ^2\left(\frac{x}{y}\right)\)

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