symbolic integration with initial condition

[RP_10150473]

Hi - how do I tell Mathcad Prime to include an initial condition when symbolically integrating?  I want the initial value of my function to be 0.1 at time t=0. 

See attached.

thank you,

russ

[Werner_E]

initial? This would mean that you also have to provide an initial value for t. I suppose you mean t=0, that is phi(0)=0.1.

So you actually have a (simple) ODE. Current version of Prime can solve ODEs symbolically:

Otherwise you could do it step by step:
.) Add an arbitratry constant C of integration
.) Apply the initial condition and solve for C

.) Redefine the function using the correct expression for C

or a little bit shorter, avoiding the explicit definition of C

which can be combined in one small program

P10 worksheet attached

[LucMeekes]

Translated to Prime 9

[RP_10150473]

Very nice, thank you!

[LucMeekes · Accepted solution]

You have:

(I've added an integration constant c)

and want:

This means that c will be a function of omega and theta, as follows:

With that you can (re-) define:

Success!
Luc