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Form the differential equation representing the family of curves x = my , where, m is arbitrary constant.

Differentiating the above equation with respet to y:

dx/dy = m;

Substituting the value of m in the given form:

x = (dx/dy) y i.e. the solution is

(dx/dy) y - x = 0

Piyush S. A Level Maths tutor, IB Maths tutor, 11 Plus Maths tutor, 1...

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