need solution for piece wise differential equation in matcad

[nkhadar]

Hello, I'm Mathcad newbie and I am unable to solve the attached problem in mathcad. 

how to plot voltage vs df/dt and voltage vs f

[Fred_Kohlhepp]

Attached is how to do it; but I don't like the result. . .

[LucMeekes]

This may be a start. (Note, a value for Vo is needed, I just put in 2).

This is your df/dVin. Note that it is discontinuous!

Then you find f by simple integration:

So now you have the function f(Vin...), You can put in any value, or function, for Vin.

Success!
Luc

[Fred_Kohlhepp]

That's great!

Plot f(t) vs t  ??

[-MFra-]

Hi,

I've used the fourth order Runge-Kutta method, the result is below depicted:

[Werner_E]

You could define the function that way

But it would be the same as

[-MFra-]

Hi, nhkadar,

I can give you an image:

[-MFra- · Accepted solution]

The for loop begins from j=1 not 0:

[LucMeekes]

I should think that Fred solved it here: https://community.ptc.com/t5/PTC-Mathcad-Questions/solution-for-the-attached-paper-to-get-figure-2-results-in/m-p/548325#M180502

Luc