What are the degree and order respectively of the differential equation satisfying e ^ y 1- x ^2 + x 1- y ^2 =c e ^ x , (where c 0,| x | 1,| y | 1) ?

Step-by-step solution

aligned & e^ y ( 1-x^2 +x 1-y^2 )-x=c & aligned & y 1-x^2 +x 1-y^2 -x= c & d y d x 1-x^2 +y 1 2 1-x^2 (- 2 x)+ 1-y^2 & +x 1 2 1-y^2 (- 2 y) d y d x -1=0 aligned aligned aligned & d y d x 1-x^2 - x y 1-x^2 + 1-y^2 - x y 1-y^2 d y d x =1 & Degree =1, order =1 aligned