You designed a new beautiful car - a cube 3 m by 3 because, why not? Very modern, has plenty of space. You can even install solar panels at the top to charge its batteries.
Now tell me, without differential equations:
* how it deforms at impact?
* how much more or less air resistance it has and how it depends on speed?
* how quickly solar panels can charge the battery given that charging speed is non-linear?
So you’ll end up building countless prototypes and crash them, run at different speeds and charge with different panels and battery types. 100 years later you find out that its shape is just not good.
In the meantime solving few simple differential equations and optimization problems would tell you the same.
Or something very close to programming. How do you add two empirically measured probability distributions describing how two teams perform?
Now tell me, without differential equations: * how it deforms at impact? * how much more or less air resistance it has and how it depends on speed? * how quickly solar panels can charge the battery given that charging speed is non-linear?
So you’ll end up building countless prototypes and crash them, run at different speeds and charge with different panels and battery types. 100 years later you find out that its shape is just not good.
In the meantime solving few simple differential equations and optimization problems would tell you the same.
Or something very close to programming. How do you add two empirically measured probability distributions describing how two teams perform?