The Student Room Group

first order ode question, please help solve

d/dt (v) = 8 - v(t)
Reply 1
Original post by Kubys
d/dt (v) = 8 - v(t)


Simplest is probably seperation of variables.
Reply 2
what do you mean by this

Original post by mqb2766
Simplest is probably seperation of variables.
Reply 3
Original post by Kubys
what do you mean by this


divide both sides by (8-v) and multiply by "dt" to get
1/(8-v) dv = 1 dt. slap integral sign on both sides and go from there. it is known as separation of variables as mqb said
(edited 10 months ago)
Reply 4
Original post by Kubys
what do you mean by this


This is a standard technique for solving DEs of this form. Are you studying this for A level?

Quick Reply

Latest