Class 12 Differential Equations · Conceptual Answer1 Marksintegrating_factors
Class 12 Maths · Differential Equations · Conceptual Answer #30
Find an integrating factor of xy′ = 2x² + y.
✅ Step-by-Step Solution
Final Answer: 1/x, on each interval x ≠ 0.
- Write y′ − y/x = 2x. A nonzero signed integrating factor is exp(∫−dx/x), proportional to 1/x.
- 1/x, on each interval x ≠ 0.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Write y′ − y/x = 2x. A nonzero signed integrating factor is exp(∫−dx/x), proportional to 1/x.
- [0.5 marks] 1/x, on each interval x ≠ 0.
Master Chapter 9: Differential Equations
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Differential Equations.
← Previous Question
Solve e^(y−x)y′ = 1.
Next Question →Find the order and degree of y⁽⁴⁾ + sin(y‴) = 0.
More Practice Questions in Differential Equations
Related Questions in Differential Equations
Class 12 Differential Equations · Mcq Single Correct
Find the degree of x²y″ = (xy′ − y)³.
Class 12 Differential Equations · Mcq Single Correct
Find the degree of y″ + 3(y′)² = x² ln(y″).
Class 12 Differential Equations · Mcq Single Correct
Find the order and degree of [1 + (y′)²]² = y″.
Class 12 Differential Equations · Mcq Single Correct
The nonconstant solutions of 2xy′ − y = 3 lie on a family of which curves?
Class 12 Differential Equations · Mcq Single Correct
Find an integrating factor of (x ln x)y′ + y = 2 ln x, for x > 0, x ≠ 1.
Class 12 Differential Equations · Mcq Single Correct
Which function satisfies (y′)² − xy′ + y = 0?