My sincere gratitude for taking the time to answer my question.
The actual equation is larger, however, since this error msg was consistently showing up, I wanted to see if I can obtain the value only for k[2] (I'm a novice Mathematica user, so I was trying various things). The actual equation I have is as follows (I reduced the t from 30 to 20):
FindRoot[tranequs, transols]
error msg (which I'm not able to understand what it is) as follows:
FindRoot::nlnum: The function value {5.38502*10^6,610256.,4243.84,<<6>>,8.86757*10^-12,<<47>>} is not a list of numbers with dimensions {57} at {k[2],k[3],k[4],k[5],k[6],k[7],k[8],k[9],k[10],k[11],<<47>>} = {871.829,871.829,871.829,<<5>>,871.829,871.829,<<47>>}.
where tranequs and transols are as follows:
tranequs = {capeq[1] == 0, capeq[2] == 0, capeq[3] == 0,
capeq[4] == 0, capeq[5] == 0, capeq[6] == 0, capeq[7] == 0,
capeq[8] == 0, capeq[9] == 0, capeq[10] == 0, capeq[11] == 0,
capeq[12] == 0, capeq[13] == 0, capeq[14] == 0, capeq[15] == 0,
capeq[16] == 0, capeq[17] == 0, capeq[18] == 0, capeq[19] == 0, elemar[1] == 0, elemar[2] == 0, elemar[3] == 0, elemar[4] == 0, elemar[5] == 0, elemar[6] == 0, elemar[7] == 0, elemar[8] == 0,
elemar[9] == 0, elemar[10] == 0, elemar[11] == 0, elemar[12] == 0,
elemar[13] == 0, elemar[14] == 0, elemar[15] == 0, elemar[16] == 0,
elemar[17] == 0, elemar[18] == 0, elemar[19] == 0,
Gov1[1] == 0, Gov1[2] == 0, Gov1[3] == 0, Gov1[4] == 0, Gov1[5] == 0,
Gov1[6] == 0, Gov1[7] == 0, Gov1[8] == 0, Gov1[9] == 0,
Gov1[10] == 0, Gov1[11] == 0, Gov1[12] == 0, Gov1[13] == 0,
Gov1[14] == 0, Gov1[15] == 0, Gov1[16] == 0, Gov1[17] == 0,
Gov1[18] == 0, Gov1[19] == 0}
transols = {{k[2], 871.8287954437363`}, {k[3],
871.8287954437363`}, {k[4], 871.8287954437363`}, {k[5],
871.8287954437363`}, {k[6], 871.8287954437363`}, {k[7],
871.8287954437363`}, {k[8], 871.8287954437363`}, {k[9],
871.8287954437363`}, {k[10], 871.8287954437363`}, {k[11],
871.8287954437363`}, {k[12], 871.8287954437363`}, {k[13],
871.8287954437363`}, {k[14], 871.8287954437363`}, {k[15],
871.8287954437363`}, {k[16], 871.8287954437363`}, {k[17],
871.8287954437363`}, {k[18], 871.8287954437363`}, {k[19],
871.8287954437363`}, {k[20], 871.8287954437363`}, {ef[1], 4.96699}, {ef[2], 4.96699}, {ef[3], 4.96699}, {ef[4], 4.96699}, {ef[5], 4.96699}, {ef[6], 4.96699}, {ef[
7], 4.96699}, {ef[8], 4.96699}, {ef[9], 4.96699}, {ef[
10], 4.96699}, {ef[11], 4.96699}, {ef[12], 4.96699}, {ef[
13], 4.96699}, {ef[14], 4.96699}, {ef[15], 4.96699}, {ef[
16], 4.96699}, {ef[17], 4.96699}, {ef[18], 4.96699}, {ef[
19], 4.96699},{d[2], 104.58436298896338`}, {d[3],
104.58436298896338`}, {d[4], 104.58436298896338`}, {d[5],
104.58436298896338`}, {d[6], 104.58436298896338`}, {d[7],
104.58436298896338`}, {d[8], 104.58436298896338`}, {d[9],
104.58436298896338`}, {d[10], 104.58436298896338`}, {d[11],
104.58436298896338`}, {d[12], 104.58436298896338`}, {d[13],
104.58436298896338`}, {d[14], 104.58436298896338`}, {d[15],
104.58436298896338`}, {d[16], 104.58436298896338`}, {d[17],
104.58436298896338`}, {d[18], 104.58436298896338`}, {d[19],
104.58436298896338`}, {d[20], 104.58436298896338`}}
I would appreciate if you could help me understand what that error msg means and if there is any way around fixing the issue. As apprised in my earlier post, I've obtained the steady-state values, however, I'm trying to obtain the transitional values during which I am using the said equation. I have checked the various posts on such error problems, but most have different set up of equations so I'm not able to relate it to my issue.
Thank you once again for your time and advice.