Q3 of 462 Page 22

Form the differential equation from the following primitives where constants are arbitrary:

y2 = 4ax


On differentiating with respect to x, we get


On substituting the value of a we get,





Hence, is the differential equation corresponding to


y2 = 4ax.


More from this chapter

All 462 →
1

Form the differential equation of the family of curves represented by y2 = (x – c)3.

 2

Form the differential equation corresponding to y = emx by eliminating m.

 3

Form the differential equation from the following primitives where constants are arbitrary:

y = cx + 2c2 + c3

 3

Form the differential equation from the following primitives where constants are arbitrary:

xy = a2