If M and N of the equation Mdx + Ndy = 0 are both of the same degree in x and y , and are homogeneous , the equation is said to be homogeneous . Such an equation can be put in the form
dy/dx = f ( y/x )
Every homogeneous equation of the above type can be easily solved by putting y = vx
where v is a function of x , and consequently
dy/dx = v + x ( dv/dx )
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