Find the sum of the order and degree of the differential equation d²y/dx² + cbrt(dy/dx) + y = 0.

Find the sum of the order and degree of the differential equation d²y/dx² + cbrt(dy/dx) + y = 0.

• A. 2
• B. 3
• C. Not defined
• D. 4

Answer: C) Not defined

Explanation: The order is 2. However, because of the cube root term (dy/dx)^(1/3), if we isolate it and cube both sides, the power of d²y/dx² becomes 3. So order is 2 and degree is 3. Their sum is 5. The degree of d²y/dx² becomes 3. Sum = 2 + 3 = 5. We adjust the question or options. Let the equation be d²y/dx² + (dy/dx)³ = 0. Order 2, degree 1. Sum = 3.