If m is order and n is degree of the differential equation y = dp dx + a ^2 p ^2- b ^2 , where p = dp dx , then the value of m + n is

Step-by-step solution

aligned & y= d p d x + a^2 p^2-b^2 = d d x ( d y d x )+ a^2 ( d y d x )^2-b^2 & y- d^2 y d x^2 = a^2 ( d y d x )^2-b^2 aligned Squaring both sides, we write aligned & y^2+ ( d^2 y d x )^2-2 y d^2 y d x^2 =a^2 ( d y d x )^2-b^2 & order =2 and degree =2 aligned