Class 12 Differential Equations · Mcq Single Correct1 Marksorder_and_degree
Class 12 Maths · Differential Equations · Mcq Single Correct #12
Find the order and degree of y″ + (y′)^(1/4) + x^(1/5) = 0 after clearing radicals in derivatives.
✅ Step-by-Step Solution
Final Answer: Option (A): 2 and 4
- The order is 2. Isolate the fourth root and raise to the fourth power: y′ = (−y″ − x^(1/5))⁴. The polynomial has degree 4 in y″, so the pair is (2, 4).
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