Prove that for a homogeneous equation -dy-dx- -y-x- and that d-y-dx-0 always

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Homogeneous Function

Prove that fo...

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Prove that for a homogeneous equation (dy/dx)= (y/x) and that d²y/dx²=0 always

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

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

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

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

Find a particular solution of the differential equation $(x - y) (d x + d y) = d x - d y$ given that y = -1, when x = 0.

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