Hard Math Class 12 Level 4

What are the order and degree of the differential equation (d^2y/dx^2)^6 + (dy/dx)^3 = 0?

Differential equation (d^2y/dx^2)^6 + (dy/dx)^3 = 0 की order और degree क्या है?

Show answer and explanation
Correct Answer

B. order 2 and degree 6

Explanation

Step 1: the highest derivative is d^2y/dx^2, so order is 2. Step 2: the power of this highest order derivative is 6, so degree is 6. Step 3: tip: degree is the power of the highest order derivative when the equation is polynomial in derivatives.

Step 1: highest derivative d^2y/dx^2 है इसलिए order 2 है। Step 2: highest order derivative की power 6 है इसलिए degree 6 है। Step 3: tip: degree highest order derivative की power से मिलती है जब equation polynomial form में हो।

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