Question #92d58

Question

Question #92d58

1 Answer

Impact of this question

5649 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-13T09:54:52

y = m x represents the family of straight lines through the origin. Every member of the family has a specific value for the parameter m.
Its differential equation is $x \frac{d y}{d x} - y = 0$ $x dy/dx - y = 0$ /

Explanation:

Differentiate with res[ect to x and eliminate the parameter m = $\frac{y}{x}$ $y/x$ .

The family of circles with center at (m, n) and radius a is given by
${(x - m)}^{2} + {(y - n)}^{2} = a^{2}$ $( x - m )^2 + ( y - n )^2 = a^2$ .

For the family of equal circles with fixed radius a, m and n are parameters of the family. We have to differentiate twice in succession and eliminate both m and n, using the given equation as the third for the purpose.

Science

Math

Humanities

... and beyond

Question #92d58

1 Answer

Explanation:

Related questions

Impact of this question