Question

The order and degree of the differential equation 1 + `((d^3y)/dx^3)^3` = λ `(d^2y)/dx^2` is ______.

विकल्प

• Order = 3, Degree = 3

• Order = 2, Degree = 2

• Order = 3, Degree = 1

• Order = 2, Degree = 1

Answer 1

The order and degree of the differential equation 1 + `((d^3y)/dx^3)^3` = λ `(d^2y)/dx^2` is Order = 3, Degree = 3.

Explanation:

1 + `((d^3y)/dx^3)^3` = λ `(d^2y)/dx^2`

The derivatives present are the third derivative `((d^3y)/dx^3)` and the second derivative `(d^2y)/dx`.

The highest order derivative is 3.

Therefore, Order  = 3

The highest-order derivative is `((d^3y)/dx^3)`

The power (exponent) raised on this specific derivative is 3.

Therefore, Degree = 3