Mathbee · CBSE Class 12 Maths

Class 12 Differential Equations · Mcq Single Correct1 Markslinear_differential_equations

Class 12 Maths · Differential Equations · Mcq Single Correct #9

Find the general solution of xy′ + 2y = x², x ≠ 0.

(A) y = (x² + C)/(4x²)
(B) y = x²/4 + C
(C) y = (x⁴ + C)/x²
(D) y = (x⁴ + C)/(4x²)

✅ Step-by-Step Solution

Final Answer: Option (D): y = (x⁴ + C)/(4x²)

Using IF x² gives (x²y)′ = x³, so x²y = x⁴/4 + C₁.

Master Chapter 9: Differential Equations

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Differential Equations.

📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →

← Previous Question

Solve dx/x + dy/y = 0, with xy ≠ 0.

Next Question →

Find the degree of sin x + cos(y′) = y².

More Practice Questions in Differential Equations

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q31 Q32 Q33 Q34 Q35 Q36 Q37 Q38 Q39 Q40

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?