The nonlinear system is not so clear. To get better answers, explain more about what you mean. I guess you aim at a system of differential equations.

Have a look at https://www.youtube.com/watch?v=I-GFMOUsGnE

and https://www.cfm.brown.edu/people/dobrush/am33/Maple/part2.html

There is a web page to accompany my book: Dynamical Systems with Applications using Maple.

http://www.doc.mmu.ac.uk/STAFF/S.Lynch/cover1.html

Available through Springer:

https://www.springer.com/us/book/9780817643898

I‘m just about to start writing the third edition!

Hello to all the nobles.

Thank you everyone for your inputs.

My goal is to solve the nonlinear system of differential or integral equations in Maple.

I have attached some explanations.

In other words, I mean whether nonlinear systems in Maple can only be solved with 'solve' command.

Thank you for your help.