Mao's maths thread

[Mao]

Thought I might put up a thread of my own for my stupid problems. Calculus related. Please help if you can!

[Thu Thu Train]

[Mao]

Today I was solving the non-linear ODE:



I got the Weierstrass P function as the answer:

, where C[1] and C[2] are the constants of integration.

It is fairly obvious that there is a constant-value solution . However, I cannot work out what values of C[1] and C[2] will give me this constant-value solution. Anyone?

[humph]

The Weierstrass function always has a singularity (a double pole at the origin, when viewed as a complex-valued function), so it's impossible to choose such constants C[1], C[2]. Look up the wikipedia page on Weierstrass functions and you'll see that they can be defined as a solution to a particular nonlinear ODE, but again there is a constant solution to this ODE (so the solution is not unique).

[Mao]

The Weierstrass function always has a singularity (a double pole at the origin, when viewed as a complex-valued function), so it's impossible to choose such constants C[1], C[2]. Look up the wikipedia page on Weierstrass functions and you'll see that they can be defined as a solution to a particular nonlinear ODE, but again there is a constant solution to this ODE (so the solution is not unique).

Thank you humph. I guess this will be the last time I trust Mathematica to give me the complete solution