As far as I understand you want a circuit that draws a current I=1+0.6 e(-0.4t) from the input voltage generator.
We have two meshes:
Vin-R3 in which the current will be I3=Vin/R3
Vin-series R2 and C. The voltage across the capacitor is Vc=Vin*{1-exp[-t/(R2*C)]} then the current will be:
I2=(Vin-Vc)/R2, that is: I2=Vin/R2*exp[-t/(R2*C)]
The total current will be I=I1+I2=Vin/R3+Vin/R2*exp[-t/(R2*C)]
Then Vin/R3=1 that is R3=Vin/1, Vin/R2=0.6 that is R2=Vin/0.6
Furthermore 1/(R2*C)=0.4 then C=1/(0.4*R2) that is C=0.6/(0.4*Vin)=1.5/Vin
Since you choose Vin=6 then R3=6 ohm, R2=10 ohm and C=250 mF
So the only error is the capacitor 25 nF instead of 250 mF