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
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I know how to integrate, but I still never see any real world example of it, so it is difficult to understand. Why is it useful?
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