CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Q121 Marksintegrating_factor
CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Question 12 (Differential Equations)
Find the listed integrating factor for 2x y′−y=3.
✅ Step-by-Step Solution
Final Answer: 1/√x
- Divide by 2x. On x>0 the integrating factor is exp(−(1/2)ln x)=1/√x. On a negative interval use 1/√|x|.
Master Chapter 9: Differential Equations
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Differential Equations.
← Previous Question
Choose the general nonzero solution family for…
Next Question →If |a|=5 and −2≤λ≤1, find the sum of the largest and smallest values…
All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/2/1
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?