we have so the ODE becomes which is separable.
Am stuck at this problem in saperable equations' section in my book.
Problem: Solve the differential equation by making the change of variable .
I did not see any similar problems in my class' lectures and in the book's section.
All what I can do it is rewrite it as:
I put "?" because I do not know how to express in terms of u. i.e, expressing it using the suggested substiution.
the same as computing very easy integrals by using trig. substitutions.
us: what's the point?
them: because we were told we needed to do it on that way.
so people are learning ways on solving ODEs, of course we can find faster ways, but the same happens when computing an easy integral when using trig. sub., since for us makes no sense.
What happened here? @@
OK ProveIt, thanks for the full solution.
Sure, I noticed its a linear equation.
but i want to see how to solve it using the change of variable.
since am new to the ODE, I wondered when I see "by change of variables", because I never see this method.