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

PS

Related Maths A Level answers

All answers ▸

Expand and simplify (3 + 4*root5)(3 - 2*root5)


Use the formula 5p + 2q = t to find the value of q when p = 4 and t = 24. 6


Find dy/dx in terms of t for the curve given by the parametric equations x = tan(t) , y = sec(t) for -pi/2<t<pi/2.


Differentiate the following: 3/2 x^(3/4) + 1/3 x^(-1/4)