Choose the Correct Answer

This exercise revises the whole chapter through $25$ multiple-choice questions: classifying order and degree (including after clearing a fractional power, or recognising when the degree is not defined); forming the differential equation of a stated family of curves (straight lines, circles of fixed radius, $y=\mathrm Ae^x+\mathrm Be^{-x}$); solving separable, homogeneous, and linear first-order equations by the standard methods of §§10.6–10.7; reading off the integrating factor of a linear equation (in either direction — from the equation to the $I.F.$, or from a stated $I.F.$ back to $P(x)$); the number of arbitrary constants carried by a gene …