What are the order and degree of the differential equation (d^3y/dx^3)^2 + (dy/dx)^4 = 0?

D. order 3 and degree 2

Step 1: the highest derivative is d^3y/dx^3, so order is 3. Step 2: the power of this highest order derivative is 2, so degree is 2. Step 3: tip: degree is the power of the highest order derivative when the equation is polynomial in derivatives.

Step 1: highest derivative d^3y/dx^3 है इसलिए order 3 है। Step 2: highest order derivative की power 2 है इसलिए degree 2 है। Step 3: tip: degree highest order derivative की power से मिलती है जब equation polynomial form में हो।