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pi's Specialist Maths Questions

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sajib_mostofa:
Q4) Let me think about that Q  :P

Q5) You should sketch both positive and negative parts. Maybe try adjusting the scale in your CAS?

TrueTears:
eh doesn't have an elementary integral lol

Mao:
Q1.









Q2.
For this one, you are venturing into second order differential equations. If f(y)=ky, then you have an linear ODE (ordinary differential equation), which is solvable but the technique is beyond specialist. If f(y) is not a linear function of y, then you are venturing into nonlinear ODE, many of which don't have elementary solutions (or have elliptical functions as solutions, which you simply don't want to deal with. I've finished my maths major and I still haven't had a need to deal with these functions yet).

Q3.
IIRC it is part of VCE.

Q4.
There is a solution to that, expressed in terms of an elliptic function. (you can see what the solution is on wolfram integrator.

Q5.
Sketch the negative branch.

HenryP:
Your CAS might not be showing it because it's in Imaginary numbers mode. Change the CAS to real mode and it should sketch the negative branch

pi:
Thanks sajib_mostofa, TT, HenryP and Mao!

Re: Mao's post, thanks for Q1, seems like the rest were out of the course :P

Re: HenryP's post, THANKS :)

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