How about uploading a worksheet that contains the various definitions? (Green up-arrow in Mapleprimes editor.)

@emendes I don't understand what you mean  sorry.

You two methods may not produce results which are always equivalent for all values of the parameters (despite your hope or expectation, though they might be Top Secret because you didnt share them...). How do you expect or hope to deal with that situation?

Perhaps there is something about your (undisclosed) solving methods which might allow you to generate programmatically or know some sufficient assumptions.

@jalal By itself the %diff gets rendered in gray (a visual indication that it is inert).

The call,

    InertForm:-Display(...,inert=false)

makes it render in black, rather than gray.

I think that this is much better than using uneval quotes to get a similar effect, which is more fragile.

(It also adds a little protection against the very unlikely event that the plotting structure gets affected by some `value` call, which the `typeset` doesn't.)

Please put your implicitplot example (in full, defining the argument) here.

@Anthrazit Unevaluated function calls are legitimately used very often in Maple.

Just one example -- amongst many -- would be y(x) in in the context of a derivative or a differential equation.

Please don't post duplicate Questions concerning this same issue.

Put follow up details here, rather than split the topic with a separate Question thread.

You won't be able to deal properly with indexed references within a Compiled procedure unless you pass in an appropriate Array/Matrix/Vector.

Does it matter here that Maine and Nebraska can split their electors by district?

@Anthrazit An unevaluated function call (even if empty with no arguments) is a perfectly valid thing and programmatically useful.

There's no good rationale here to make such a thing raise an error.

@Anthrazit A GUI Table is not implemented as an embedded component and so there is no Property of an "existing" Table for column weighting which might be adjusted programmatically.

If the Table is part of a programmatically embedded assembly (InsertContent) then that whole thing can be replaced -- mimicing such effects. That gets complicated.

@jrive The final call to solve can be done with C1 and C2 being free (so the condition abs(C1/C2)>=1 is unnecessary, and problematic with some complex numerics here).

Download filter_ac.mw

@grosman Would you provide your fixed numeric values for the remaining parameters b,c,d,e, and g?

If your actual goal is the plot then perhaps you might be able to go straight to the plots:-implicitplot command.

Is there a reason why you cannot show us the actual code that defines f (either as plaintext or as an attachment uploaded here with the Mapleprimes editor's green up-arrow). If you provide it then knowing the range for y values -- and whether you want just one or several solutions x per y value -- would help.

Your Question is marked as being for Maple 6 (released in the year 2000). Is that correct?

If I recall, exporting a whole table of plots is also problematic is displayed using usual array plots, ie,
   plots:-display(Array([...]));

Why not provide your differential equations, either as plaintext or within an attached worksheet?

You shouldn't expect people to have to type them in from an image (even if it showed them).

@gdikal Why not attach your worksheet, so that others may see your definitions?

Are you missing a multiplication between brackets, after the (1 - theta(sP, sL)) term? That could be an explicit multiplication symbol, or a space if in 2D Input. Have you checked, to see whether calling your operator u results in a multiplication or a function call?