Q16 of 462 Page 22

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):
y = ax³

y = ax³

On differentiating with respect to x we get,

From the given equation

So, we have

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

y² = 4 a (x – b)

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):

y = e^ax

Represent the following families of curves by forming the corresponding differential equations (a, b being parameters):y = ax3