Thanks, this was very helpful. I have since rewritten the code to loop on several values of my gear ratio, and can see the difference in the car's performance.

It was curious to see that when I changed some of my equation constants, Maple asked for an additional initial condition in dsolve. This wasn't expected.

I will try to implement Joe Riel's solution, using dsolve to do the integration, as soon as I can spend some time to understand it. It was not intuitive to me that this command could be used for integration.

My graphics need some work, and I'd like to add a GUI, but it's coming around.

Gear_Ratio_Study_1.mw

Thanks, this was very helpful. I have since rewritten the code to loop on several values of my gear ratio, and can see the difference in the car's performance.

It was curious to see that when I changed some of my equation constants, Maple asked for an additional initial condition in dsolve. This wasn't expected.

I will try to implement Joe Riel's solution, using dsolve to do the integration, as soon as I can spend some time to understand it. It was not intuitive to me that this command could be used for integration.

My graphics need some work, and I'd like to add a GUI, but it's coming around.

Gear_Ratio_Study_1.mw

Sorry, but I'm not finding Joe's solution useful. Here's the commented code this time Gear_Ratio_Study_.mw

Sorry, but I'm not finding Joe's solution useful. Here's the commented code this time Gear_Ratio_Study_.mw

Thanks, but the level of the referenced discussions is getting beyond my level of comfort as an occasional Maple user. I'm OK with a basic numeric dsolve, and can generate plots of the results, but in this case I need to extract a functional solution and then integrate and plot. The full code is attached this time Gear_Ratio_Study_.mw.

One of the sources of computational complexity is a 6-th order polynomial I used to fit some experimental data - I have 50 ordered pairs that give the relationship between current and voltage from a solar panel. Is there a way to provide this relationship as an array or table and use interpolation? Might it be faster?

Kevin

Thanks, but the level of the referenced discussions is getting beyond my level of comfort as an occasional Maple user. I'm OK with a basic numeric dsolve, and can generate plots of the results, but in this case I need to extract a functional solution and then integrate and plot. The full code is attached this time Gear_Ratio_Study_.mw.

One of the sources of computational complexity is a 6-th order polynomial I used to fit some experimental data - I have 50 ordered pairs that give the relationship between current and voltage from a solar panel. Is there a way to provide this relationship as an array or table and use interpolation? Might it be faster?

Kevin