Write the sum of the order and degree of the differential equation `((d^2y)/(dx^2))+((dy)/(dx))^3+x^4=0.`

Explanation

Given differential equation is,

`((d^2y)/dx^2)^2+(dy/dx)^3+x^4 = 0`

Here, highest differential term is `(d^2y)/dx^2`.

so, order of the given differential equation is `2.`

As power of highest differential term is `2`,

so, degree of the given differential equation is `2.`

`:.` Sum of order and degree of the given differential equation ` = 2+2 = 4`.