Q5 of 45 Page 1

Write the differential equation representing the family of curves y = mx, where m is an arbitrary constant.

To get the differential equation form an algebraic equations we need to remove the arbitrary constants by differentiating equation.


As, y = mx


We need to remove m to get the differential equation.


Differentiating w.r.t to x, we get-



∵


∴


Substituting the value of m in given equation we get,


∴ is the required differential equation.


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