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(edited 1 month ago)
Reply 1
Original post by user142615920
https://isaacphysics.org/questions/maths_ch7_3_q9?stage=a_level

cannot do part f, please help. i have tried m(t) = (m_0 - qt) (1 + p/100)^t, and m(t) = (m_0 - qt)e^((pt)/100) and don’t have much of a clue of what i’m doing. i don’t know if you have to solve the differential equation dm/dt = pm/100 - q, but i can’t solve that either because i want to integrate with respect to t but m is also there, so i can only ever get t(m) and not m(t).

any help would be much appreciated, thank you

Seperation of varaibles or solving linear odes or integrating factor would be some ways you could do it. You do need to solve the differential equation in the linked question part.
(edited 4 months ago)

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