Class 12 Differential Equations · Conceptual Answer1 Marksseparable_differential_equations
Class 12 Maths · Differential Equations · Conceptual Answer #91
Solve y′ − y(x + 1)/x = 0.
✅ Step-by-Step Solution
Final Answer: y = Cxeˣ, x ≠ 0, C ∈ ℝ.
- An integrating factor of the linear equation is e^(−x)/x. Thus (ye^(−x)/x)′ = 0; the answer includes y = 0.
- y = Cxeˣ, x ≠ 0, C ∈ ℝ.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] An integrating factor of the linear equation is e^(−x)/x. Thus (ye^(−x)/x)′ = 0; the answer includes y = 0.
- [0.5 marks] y = Cxeˣ, x ≠ 0, C ∈ ℝ.
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