The difference of the order and degree of the differential equation ( d^2 y d x^2 )^ - 7 2 ( d^3 y d x^3 )^2- ( d^2 y d x^2 )^ - 5 2 ( d^4 y d x^4 )=0 is

Step-by-step solution

Given differential equation aligned & ( d^2 y d x^2 )^ - 7 2 ( d^3 y d x^3 )^2- ( d^2 y d x^2 )^ - 5 2 ( d^4 y d x^4 )=0 & ( d^2 y d x^2 )⁻⁷ ( d^3 y d x^3 )^4- ( d^2 y d x^2 )⁻⁵ ( d^4 y d x^4 )^2=0 & ( d^3 y d x^3 )^4 ( d^2 y d x^2 )^5- ( d^2 y d x^2 )^7 ( d^4 y d x^4 )^2=0 aligned So, order =4 , degree =2 Now, order - degree =4-2=2 .