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Differential Equations — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

30questions
10/14/6easy / medium / hard
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Sample questions from this chapter

An equation involving a dependent variable and its derivatives is called a
  1. differential equation ✓
  2. matrix equation
  3. identity
  4. polynomial only
Answer: A. A differential equation contains derivatives of a dependent variable.
Why not B: Ignores the derivative and changes topic.
Why not C: Confuses an equation to solve with an always-true identity.
Why not D: Restricts the equation to polynomials unnecessarily.
General solution of y″=0 is
  1. y=C
  2. y=Cx
  3. y=C₁x+C₂ ✓
  4. y=x²+C
Answer: C. Integrating twice gives y′=C₁ and y=C₁x+C₂.
Why not A: Integrates only once and loses a constant.
Why not B: Omits the additive constant.
Why not D: Integrates zero as x².
Solution of y′=y/x through (2,6) is
  1. y=3x ✓
  2. y=6x
  3. y=3/x
  4. y=x+4
Answer: A. Separation gives y=Cx; 6=2C, so C=3.
Why not B: Uses the y-coordinate as the constant C.
Why not C: Uses the solution of y′=−y/x.
Why not D: Assumes constant slope 1.

These are 3 of the 30 questions in the test. Take the full chapter test →

Read the chapter first

Every NCERT question in this chapter is solved, free: NCERT solutions — Differential Equations →

Other NEET Maths chapters

SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

All 27 chapters →

Questions

How many NEET questions are there on Differential Equations?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 12 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.