Class 12 Differential Equations · Conceptual Answer1 Marksseparable_differential_equations
Class 12 Maths · Differential Equations · Conceptual Answer #89
Solve e^(y′) = x².
✅ Step-by-Step Solution
Final Answer: y = 2(x ln|x| − x) + C, x ≠ 0.
- Taking natural logarithms gives y′ = ln(x²) = 2ln|x|. Integrate by parts.
- y = 2(x ln|x| − x) + C, x ≠ 0.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Taking natural logarithms gives y′ = ln(x²) = 2ln|x|. Integrate by parts.
- [0.5 marks] y = 2(x ln|x| − x) + C, x ≠ 0.
Master Chapter 9: Differential Equations
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