@Ola Hi, I was testing out some properties of Maple, and it turned out your problem was a good example for me to use. It doesn't add anything beyond what Rob Corless told you. However, it includes an Explore app so that you can vary the initial values of P, Q, and R at t = 0 and see how the two functions change with time.  I thought you might find it interesting and helpful for other problems. 

MaplePrimes_Explore_6_ode_sols.mw

This problem is also known to occur in Maple. When that happens to me, I open up a new worksheet and copy everything to the new worksheet before saving it. Sometimes, I have to open a new instance of the Maple program to create the worksheet that will save. Maybe these ideas will work for you in Flow. 

@FDS |V5| says take the determinant of V5. How does ~|V5| work? 

Assign your problem to a variable name and then work with the variable name. You will likely make fewer errors in copying and pasting or retyping output. 

See the example. Complex_valued_integrals_simplified.mw

There are 7 equations and 8 unknowns. Which variables are the unknowns? 

I made a guess.

MaplePrimes_Why_this_error.mw

@C_R couple = 2. 2023 conference.

@C_R What feedback? If you mean what the executive said, that was a couple of years ago.

I added your post to my bug report which I sent in earlier this year.

@C_R When I try your example, I can sometimes reproduce the effect, and sometimes I cannot. 

A couple of years ago at a Maplesoft convention, we got to ask the decision-makers at Maplesoft what they would like to work on if time and money were not a concern. And the first item mentioned was a new interface. While I am pleased with the command line using 2d-math input in the 2023 version, I hope the new problems introduced with version 2024, such as this one, will have motivated them to spend time and money on a new interface. 

@rcorless Combining your suggestion and the suggestions by @Mariusz Iwaniuk, I generate a result with an acceptable solution for y(t), but the expression for p(t) is still in the form of a differential: (d/dt(y(t)*m).  At least this result for y(t) is usable and not filled with RootOfs.

@Mariusz Iwaniuk Normally, I don't have to. In addition, adding a set, and not a list, of variables, which is my default, doesn't produce an output. But I will remember this option in the future. 

Sadly, a less-than-pleasing output.

@Paras31 Ah, I see why you started with this problem. Unfortunately, the problems shown are physically unrealistic. For example, a cake that is 450 F? No way. All the water would have evaporated, and the cake would have ended up as dust.

For the USA national holiday, we cook a turkey which is full of water. The oven temperature is set to 350F. The turkey is fully cooked when the thermometer that is stuck into the center of the turkey reads 165F. We don't let the turkey cook until it reaches 350F. A pumpkin pie is put in the oven where the filling is soupy. At some point, it gels, and that is when we pull out the pie. Again, it never reaches 350F. I took the roast beef example from my cookbook. These are physically sound situations. 

Pedagogically, I don't care for a problem for which the solution starts with putting numbers in for constants. The benefit of a computer algebra system (CAS) is that it provides an algebraic output for which constants can be altered. That is why I like the Explore procedure. However, pedagogy is subjective. The evaporation of water is not.  

@michele I forgot to add that hitting F5 switches between text, math and nonexecutable math. 

@michele At the execution prompt, click on the Text box above the pages (Not the big T. That gives you a Text group.) 

This allows you to switch between one input format vs. another. 

@lemelinm Your question caused me to update the instructions for the video, which I quickly shot for my students. However, I think I should reshoot it to describe the multiple ways of working with the maple.ini file. Unfortunately, most of my students use a Mac and so I don't know any of the complexities of working with that system. 

@C_R Thanks. I'll add your comment to the bug report I submitted on the beta website when it returns. (I would say the website is taking a Thanksgiving break, but the Canadians already have celebrated Thanksgiving. So, I'm not sure what is going on.)