Question

The differential equation `x((d^2y)/dx^2)^3 + ((d^3y)/dx^3)^2y = x^2` is of ______ 

Options

• Degree 3 and order 2

• Degree 3 and order 2

• Degree 1 and order 1

• Degree 1 and order 1

• Degree 2 and order 3

• Degree 2 and order 3

• Degree 4 and order 4

• Degree 4 and order 4

Answer 1

The differential equation `x((d^2y)/dx^2)^3 + ((d^3y)/dx^3)^2y = x^2` is of Degree 2 and order 3.

Explanation:

Here, the highest order derivative is `(d^3y)/dx^3` with power 2.

∴ order = 3 and degree = 2

Answer 2

The differential equation `x((d^2y)/dx^2)^3 + ((d^3y)/dx^3)^2y = x^2` is of Degree 2 and order 3.

Explanation:

Here, the highest order derivative is `(d^3y)/dx^3` with power 2.

∴ order = 3 and degree = 2