Polyaniline is poorly soluble in most organic solvents. As a solvent you can try using a mixture of m-cresol and decalin and sonication.
1.Valenciano, G. R., Job, A. E., & Mattoso, L. H. C. (2000). Improved conductivity of films of ultra high molecular weight polyethylene and polyaniline blends prepared from an m-cresol/decaline mixture. Polymer, 41(12), 4757-4760.
2.Bhadra, J., Al-Thani, N. J., Madi, N. K., & Al-Maadeed, M. A. (2016). High performance sulfonic acid doped polyaniline–polystyrene blend ammonia gas sensors. Journal of Materials Science: Materials in Electronics, 27, 8206-8216.
the LDPE is not easily soluble. Here is the link to a former question about it's solubility: https://www.researchgate.net/post/Which-solvent-should-I-use-to-dissolve-polythene
Additionally, polyaniline is considered to be dispersed rather than dissolved (there were some questionsregarding this topic on researchgate already). Thus you might not obtain a real solution of both polymers.