Question

The degree of the differential equation \( (y^m)^2 + (\sin y')^4 + y = 0 \) is:

• A. 1
• B. 2
• C. 3
• D. 4
• E. Not defined

Hint:

When the highest power of the derivative is not defined or the equation is non-linear, the degree cannot be determined.

Answer 1

Answer: (E)

The degree of a differential equation is the highest power of the derivative in the equation. In this case, there is no explicit derivative in a non-linear form, so the degree is not defined.