On Non- Homogeneous Biquadratic Diophantine Equation 7(x2+y2) - 13xy = 31z4
Journal: International Journal of Science and Research (IJSR) (Vol.5, No. 11)Publication Date: 2016-11-05
Authors : P. Jayakumar; R. Venkatraman;
Page : 391-394
Keywords : Quadratic; non-homogenous; integer solutions; special numbers; polygonal; and pyramidal numbers;
- Optimal Battery Charging in Solar Robotic Vehicle
- Battery Charging Algorithm in a Solar Powered Robotic Vehicle based on Embedded System
- SMART BATTERY CHARGER FOR SOLAR-POWERED LINE FOLLOWER ROBOTIC VEHICLE
- The Design and Performance Investigation of Solar E-Bike using Flexible Solar Panel by Different Battery Charging Controller
- Charging and Discharging Control of Li Ion Battery for Electric Vehicle Applications
Abstract
Five different methods of the non-zero integral solutions of the homogeneous biquadratic Diophantine equation with five unknowns 7 (x2 + y2) - 13xy = 31z4 are determined. Introducing the linear transformations x = u + v, y = u v, u v 0 in 7 (x2 + y2) - 13xy = 31z4, it reduces to u2 +27v2 = 31z4. We are solved the above equation through various choices and the different methods of solutions which are satisfied it. Some interesting relations among the special numbers and the solutions are exposed
Other Latest Articles
- Application of Queuing Model in a Restaurant (A Case Study of Kalinga Restaurant)
- Optimum Design of the Battery Powered 6 Kwp Grid-Tie Photovoltaic System Under Kilis Conditions
- A Rare Case of Pulmonary Lymphangioleiomyomatosis with Recurrent Pneumothorax
- Mining of Association Rules with Privacy Preserving in Horizontally Distributed Databases
- Structural Characterisation of the Failed Manafwa Historic Bridge in Uganda
Last modified: 2021-07-01 14:47:12