Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):
y² = 4 a (x – b)

Question

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters): y 2 = 4 a (x – b)

Philoid · Accepted Answer

On differentiating with respect to x

Again, differentiating with respect to x we get,

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):y2 = 4 a (x – b)