✓ 5 MARKS
Long Answer
🔥 APPEARED IN 3 BOARD SETS
(a) Solve the differential equation : $x^2 y\, dx - (x^3 + y^3)\, dy = 0$. \
OR \
(b) Solve the differential equation $(1 + x^2) \frac{dy}{dx} + 2xy - 4x^2 = 0$ subject to initial condition $y(0) = 0$.
01 // VERIFIED BOARD OCCURRENCES
| Year | Paper Code | Set | Position |
|---|---|---|---|
| CBSE 2025 | Series 65-6 | Set 1 | Question 34 |
| CBSE 2025 | Series 65-6 | Set 2 | Question 32 |
| CBSE 2025 | Series 65-6 | Set 3 | Question 32 |
02 // OFFICIAL CBSE MARKING SCHEME BREAKDOWN
- Step 1: Stating the fundamental formula / law statement (+1 Mark)
- Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
- Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)