Recent content by sola maths

Your explanation makes lots of sense... I'd defined a function but had difficulty making it a function of t... Thanks.

Hi uart, Yes, I have some function A(x) that I need to evaluate numerically as x changes. The first expression you wrote is what I meant.

I'm trying to write a python program that is able to numerically execute functions of the form: y(t) = exp(Integrate[A(x),x]) within the bounds of 0 and t I tried using quad from scipy.integrate but it seems not to be able to evaluate expressions of this form. Any other suggestions on...

Hi, I'm trying to write a short code in Mathematica that can generate random real numbers in - say 5 secs, and then plot this against any specified range I want. An additional complexity is that the function I'm generating the random numbers for is embedded in an integral. Here's an example...

Pheeww! Mathematics indeed could be rattling, been on the problem for sometime now. The problem I foresee with your last review is computing: t=h^{-1}(z) Can't see how that will be done.

Thanks for your reply, I understand your point but if you look at the example in the link I posted, you will see that the substitution is not as straightforward as you put it. Seems to me that there's some sort of parametrization to be done.

I actually do know that the equation is the Abel equation of the 2nd kind: http://eqworld.ipmnet.ru/en/solutions/ode/ode0125.pdf but I don't understand how to get the substitution, by the method outlined.

Hi there, I've having problems solving a particular nonlinear ODE. Any help/suggestions will be highly appreciated. The nonlinear ODE is: v[t]*v'[t] + (4*v[t])/(t^2 - 1) = t/(t^2 - 1) Thank you.