The differential equation which represents the family of plane curves y = exp(cx) is:
Answer & explanation
Correct answer: option 4
Take log on both sides ln y = cx … (i)
Differentiate (i) w. r. t. x ; $\frac{1}{y}\frac{dy}{dx}=c$ … (ii)
Using (i) and (ii), we have
y log y = xy'