Differential Equation Numeric and Analytic Solutions with Excel

[@La_Tabda]

Really great video.

[@aivilo2108]

Thank you!

[@mr.j4709]

why a ΔT value is 0.5?

[@apm]

It can be any value. The shorter the step length there is more accuracy but it also takes longer to calculate.

[@human21853]

Thank you very much
Can you please solve the heat equation the same way (numeric and Analytic Solutions with Excel)

[@apm]

Here are a couple links that may help: apmonitor.com/pdc/index.php/Main/PhysicsBasedModels and apmonitor.com/pdc/index.php/Main/ArduinoModeling

[@syafiqzainuddin1695]

i want to ask,why suddenly ca became a time func?

[@apm]

Ca starts as an initial condition (single value) but then changes over time to satisfy the differential equation.

[@ramyaanandhan4379]

Could please explain how to solve rate of capacitance vs time (dC/dt) for the following data points:
time (min) Capacitance (F/min) dC/dt
0 1083.5
4 1078.58
8 1065.69
12 1058.25

[@rehanrafiq2985]

why k is put with -ve sign in numeric solution??

[@apm]

The differential equation is dy/dt = -k * y.