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  4. A homogeneous differential equation of the (dx/dy) = h ( (x/y) ) can be solved by making the substitution

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Q. A homogeneous differential equation of the $\frac{dx}{dy} = h \left(\frac {x}{y} \right)$ can be solved by making the substitution

Differential Equations

Solution:

For solving the homogeneous equation of the form $\frac{dx}{dy} = h \left( \frac{x}{y} \right)$, we make the substitution x = vy