Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Differential Equations · Conceptual Answer1 Markslinear_differential_equations

Class 12 Maths · Differential Equations · Conceptual Answer #34

Solve y′ + y = cos x − sin x.

✅ Step-by-Step Solution

Final Answer: y = cos x + Ce^(−x).
  1. Use IF eˣ: (eˣy)′ = eˣ(cos x − sin x) = (eˣcos x)′.
  2. y = cos x + Ce^(−x).

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Use IF eˣ: (eˣy)′ = eˣ(cos x − sin x) = (eˣcos x)′.
  • [0.5 marks] y = cos x + Ce^(−x).

Master Chapter 9: Differential Equations

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Differential Equations.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
Solve (y + 3x²)dx/dy = x.
Next Question →
Solve y²dx + (x² − xy + y²)dy = 0.

More Practice Questions in Differential Equations

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38Q39Q40

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?