Q16 of 462 Page 22

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

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):

(x – a)² – y² = 1

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):

y = ax³

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):

x² + y² = ax³

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