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
B. order 2 and degree 6
ExplanationStep 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।