What is the degree of a differential equation with 2 terms of same order such as (d^4y/dx^4)^5 + (d^4y/dx^4)^2 + 1 = 0.

Asked by damarlasumanjali | 20th Jun, 2015, 02:52: PM

Expert Answer:

open parentheses fraction numerator d to the power of 4 y over denominator d x to the power of 4 end fraction close parentheses to the power of 5 plus open parentheses fraction numerator d to the power of 4 y over denominator d x to the power of 4 end fraction close parentheses squared plus 1 equals 0 T h e space a b o v e space d i f f e r e n t i a l space e q u a t i o n space i s space a space p o l y n o m i a l space i n space fraction numerator d to the power of 4 y over denominator d x to the power of 4 end fraction. space D e g r e e space o f space a space d i f f e r e n t i a l space e q u a t i o n space i s space d e f i n e d space a s space t h e space h i g h e s t space p o w e r space o f space t h e space h i g h e s t space o r d e r space d e r i v a t i v e. space I n space t h i s space c a e comma space t h e space h i g h e s t space p o w e r space i s space 5. space H e n c e comma space d e g r e e space o f space t h e space e q u a t i o n space i s space 5.

Answered by satyajit samal | 21st Jun, 2015, 10:24: AM