Polynomial General Solutions for First Order Autonomous ODEs

For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that this algorithm is quite effective in solving ODEs with high degrees and a large number of terms.

• Type: Conference
• Year: 2004
• Where: GIAE
• Authors: Ruyong Feng, Xiao-Shan Gao
• Keywords: GIAE 2004, Mathematics, Order Autonomous Ode, Polynomial General Solution, Polynomial Time Algorithm