Class 12 Differential Equations · Mcq Single Correct1 Markslinear_differential_equations
Class 12 Maths · Differential Equations · Mcq Single Correct #82
Solve xy′ + y = xeˣ.
✅ Step-by-Step Solution
Final Answer: Option (D): xy = eˣ(x − 1) + C
- The left side is (xy)′; ∫xeˣdx = eˣ(x − 1) + C. Use regular branches x ≠ 0; an extension through 0 requires C = 1.
Master Chapter 9: Differential Equations
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Differential Equations.
← Previous Question
Find an integrating factor of xy′ − y = 2x², x ≠ 0.
Next Question →Solve eˣdy + (yeˣ + 2x)dx = 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?