JEE Main

AI Gen: Differential Equations question bank (Mathematics)

Practice 18 free JEE Main Mathematics - AI Gen: Differential Equations questions with answers and step-by-step solutions.

Start free Book a demo

All Easy

Q1.

Find the order and degree of the differential equation: (d^2y/dx^2)^3 + dy/dx + sin(dy/dx) = 0.

Topic: Differential Equations | Source: AI Generated (JEE Main)

(A)

Order 2, Degree 3

(B)

Order 2, Degree not defined

(C)

Order 1, Degree 3

(D)

Order 2, Degree 1

Show answer & solution

Verified Answer & Solution Locked

Q2.

The general solution of the differential equation dy/dx = (1 + y^2) / (1 + x^2) is:

Topic: Differential Equations | Source: AI Generated (JEE Main)

(A)

y - x = C(1 + xy)

(B)

y + x = C(1 - xy)

(C)

tan^-1(y) - tan^-1(x) = C

(D)

Both A and C

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 18 questions

Unlock every AI Gen: Differential Equations question, generate papers, and practice at your own pace.