@mmcdara 
thank you Sir...i got it...i need intital guess values from some paper and sovle it form what your guided model...and it help me a lot  ...here is mine...it is pretty valid i think and need to verify that from my supervisor
By the way...this is the prediction of stress-strain curve of unidrectional composite laminate under strain rate loading....yours are quite helpful......than you very much...Sir..wish you the best

@mmcdara thank you sir...i'm a student  and...this is for my thesis..sir..actually i don't have ...enough data for intital value..here is the error is reduced..but still too high....that you very much..sir..yours ..is absolutely helpful
9terms.mw
can you check please...look like need to determine.constraints..more effectvely?
that you very much sir

@mmcdara 
thank you sir....e  is exponential..and G values are prony coefficient and tau values are relaxation times...
should i put e and nu(poission ratio) to parameters..poission ratio is given and e is exp...
can you give me how to put intial point to maple worksheet...i already tried intital points also...but still some error for this.
here is my maple worksheeet..sir....i really appritiated that.prony.mw

@sand15 
thank you Sir
here is my new worksheet..here is error
Error, (in Optimization:-Minimize) objective function must be an algebraic expression or procedure
prony.mw

@acer sir i change the variable values and equations a litle bit and i have the error like this..i want to solve for t= 0 to 600 s ..can you check this please

Download time-dependent_aerodynamic_pressure.mw

@rlopez  sir. the plot is like this i want t is bottom but its in the top and it is too large how can i fix it..? with respect

@mmcdara 
 thank u sir ..but i don't think i want that animation...may be i'm wrong with my equations....please check this..
 

i want to plot (epsilon,time) for all value of time....in this equation
plot_matrix_over_time.mw

@tomleslie thank u sir ..but i don't think i want that animation...may be i'm wrong with my equations....please check this..
 

i want to plot (epsilon,time) for all value of time....in this equation
plot_matrix_over_time.mw

@acer   thank u sir ..but i don't think i want that animation...may be i'm wrong with my equations....please check this..
 

i want to plot (epsilon,time) for all value of time....in this equation
plot_matrix_over_time.mw

@mmcdara Sir..i'm sorry...i will show the exact equation...please check this ..and i want to plot ( sigma,epislon) from t= 1..100

@mmcdara Sir..i have variable (e) in this problem...is there possible to plot (a,e)..with different value of (t)
by the way (a) is streess and (e) is strain and (t) is time...i want to plot stress and strain over time

plot.mw