Yes you can choose a suitable real life problem based on the topic. For example Newton's Law of cooling for study of linear differential equation and population model etc.

Take a problem with a real problematatic situation And solve it with a Chain of a successive analytic judments until you arive to its unique solution.

Thanks to all who answered,

I found the answers useful especially the answer from Ms. Martina.

Actually the very famous problems for PBL like appliactions of the first order diff. equations can be found anywhere, I wish to make a bank of  new problems for PBL in Mathematics if anyone would like to contribute or share link of such new problem.

The problems containing modern terms of science & technology can drive the students for learning, I hope so.

So, pls keep sharing n be happy.

Thanks again

Galileo's Inertia Law is usually used to teach why a theoretical result Can develop a motor new results .

https://www.researchgate.net/post/Can_teaching_Primary_Mathematics_through_a_problem_solving_approach_enhance_and_affect_childrens_perceptions_of_and_attitudes_towards_Mathematics This person is asking the same the same :) 

Hello, 

I'm preparing math context problems for freshments at university level for students in chemistry for each math topic in the first- student year. We might cooperate in future.

Sure, international cooperation is essential to create such effective content for the future students, especially while we have been global since the beginning of 21st century.