What are the order and degree of the differential equation (d^4y/dx^4)^2 + (dy/dx)^5 = 0?
Differential equation (d^4y/dx^4)^2 + (dy/dx)^5 = 0 की order और degree क्या है?
Show answer and explanation
B. order 4 and degree 2
ExplanationStep 1: the highest derivative is d^4y/dx^4, so order is 4. 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^4y/dx^4 है इसलिए order 4 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।