Goodmarks

Mathematics · JEE

Differential Equations MCQs for JEE

7+ syllabus-aligned questions available

Quick answer

Differential Equations JEE MCQs on Goodmarks include 7+ multiple-choice questions with correct answers and step-by-step solutions. Attempt free samples below or unlock the full bank with Pro.

Master Differential Equations through exam-style multiple-choice questions. This page features 7+ JEE MCQs covering Ordinary differential equations, their order and degree, The solution of differential equation by the method of separation of variables, Solution of a homogeneous and linear differential equation of the type dy/dx + p(x)y = q(x), each with verified answers and clear explanations.

Subtopics in Differential Equations

  • Ordinary differential equations, their order and degree
  • The solution of differential equation by the method of separation of variables
  • Solution of a homogeneous and linear differential equation of the type dy/dx + p(x)y = q(x)

Free sample questions

Attempt 7 free MCQs for Differential Equations. Unlock the full bank with Pro.

Unlock full bank
Q1MathsUnit 9: Differential Equations
The order and degree of the differential equation, (d2ydx2)3=sin⁡y+3x\left(\frac{d^{2} y}{d x^{2}}\right)^{3}=\sin y+3 x \quad are
Q2MathsUnit 9: Differential Equations
Assertion A normal is drawn at a point P(x,y)\boldsymbol{P}(\boldsymbol{x}, \boldsymbol{y}) of a\mathbf{a} curve. It meets the xx -axis and the yy -axis in point AA and BB, respectively, such that 1OA+1OB=1,\frac{1}{O A}+\frac{1}{O B}=1, where OO is the origin. The equation of such a curve passing through (5,4)(\mathbf{5}, \mathbf{4}) is (x−1)2+(x-1)^{2}+ (y−1)2=25(y-1)^{2}=25 Reason OA=x+ydydx\boldsymbol{O A}=\boldsymbol{x}+\boldsymbol{y} \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} and OB=x+ydydxdydx\boldsymbol{O} \boldsymbol{B}=\frac{\boldsymbol{x}+\boldsymbol{y} \frac{d \boldsymbol{y}}{d \boldsymbol{x}}}{\frac{d \boldsymbol{y}}{d \boldsymbol{x}}}
Q3MathsUnit 9: Differential Equations
Assertion The order of the differential equation, of which xy=cex+be−x+x2\boldsymbol{x} \boldsymbol{y}=\boldsymbol{c} \boldsymbol{e}^{\boldsymbol{x}}+\boldsymbol{b} \boldsymbol{e}^{-\boldsymbol{x}}+\boldsymbol{x}^{\boldsymbol{2}} is a solution, is 2 Reason The differential equation is xd2ydx2+x \frac{d^{2} y}{d x^{2}}+ 2dydx−xy+x2−2=02 \frac{d y}{d x}-x y+x^{2}-2=0
Q4MathsUnit 9: Differential Equations
The differential equation corresponding to xy=c2,x y=c^{2}, where cc is an arbitrary constant, is:
Q5MathsUnit 9: Differential Equations
Order and degree of (x2+2x)y22+(x2−2)y13−2(x+\left(x^{2}+2 x\right) y_{2}^{2}+\left(x^{2}-2\right) y_{1}^{3}-2(x+ 3)y=0\mathbf{3}) \boldsymbol{y}=\mathbf{0} are:
Q6MathsUnit 9: Differential Equations
Consider the following statements: 1. The general solution of dydx=f(x)+\frac{d y}{d x}=f(x)+ xx is of the form y=g(x)+c,y=g(x)+c, where cc is an arbitrary constant. 2. The degree of (dydx)2=f(x)\left(\frac{d y}{d x}\right)^{2}=f(x) is 2 Which of the above statements is/are correct?
Q7MathsUnit 9: Differential Equations
A certain radioactive material is known to decay at a rate proportional to the amount present. If after one hour it is observed that 10 percent of the material has decayed, find the half-life (period of time it takes for the amount of material to decrease by half) of the material (in hrs.)

Want unlimited Differential Equations practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started freeView Pro plans

Frequently asked questions

What type of Differential Equations MCQs appear in JEE?

JEE Main tests Differential Equations through conceptual and numerical MCQs. Goodmarks mirrors this format with four-option questions and detailed solutions.

How many MCQs should I solve for Differential Equations?

Aim for at least 50–100 MCQs per subtopic. Goodmarks has 7+ questions for Differential Equations to build speed and accuracy.

Are solutions provided for every MCQ?

Yes. Each MCQ shows the correct option, final answer, and a step-by-step explanation after you submit.

Can I filter MCQs by Differential Equations only?

Pro subscribers can filter by subject, unit, and subtopic. Free users get a random mix across all subjects.

Related topics