I struggle with modelling with differential equation, is there an easier way of interpreting this type of wordy question?

I would let the student identify what the important elements of the question are and encourage them to assign each with a term or other mathematical notation. I would then go through these to make sure the student understood what terms such as rate of increase/decrease mean in mathematical notation. This should make a seemingly wordy question appear a lot simpler however, if the student was still struggling to answer the question, I would give them hints towards the right answer like 'what does the rate of change being proportional to that term mean?' until the student understands. I would then encourage the student to try a different question to ensure that they could repeat the process.
With this type of question I would always ensure the student started on one that was phrased show that as this gives them immediate confirmation that their answer is correct.

CL
Answered by Christopher L. Maths tutor

2967 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the difference between a scalar product and a vector product, and how do I know which one to use in questions?


Find dy/dx in terms of t for the curve given by the parametric equations x = tan(t) , y = sec(t) for -pi/2<t<pi/2.


Show that the curve with equation y=x^2-6x+9 and the line with equation y=-x do not intersect.


Differentiate: ln((e^x+1)/e^x-1))


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning