JEE Mathematics
Homogeneous Differential Equations: JEE Questions & Solutions
6 previous-year JEE Mathematics questions on Homogeneous Differential Equations, each with a worked step-by-step solution.
Previous-year questions
- 01Let the solution curve of the differential equation x dy - y dx = √(x²+y²) dx, x>0, with y(1)=0, be y=y(x). Then y(3) is equal toMCQMediumJEE 2026
- 02Let x = x(y) be the solution of the differential equation: y = ( x - y dx/dy) sin( x/y), y > 0 and x(1) = π/2. Then cos(x(2)) is equal to:MCQMediumJEE 2025
- 03If sin(y/x) = ln|x| + α/2 is the solution of the differential equation x cos(y/x) dy/dx = y cos(y/x) + x, and y(1) = π/3, then α² is equal…MCQMediumJEE 2024
- 04The solution of the differential equation dy/dx = -((x² + 3y²)/(3x² + y²)), y(1) = 0 is:MCQMediumJEE 2023
- 05Let y = y(x) be the solution of the differential equation (3y² - 5x²) y dx + 2x(x² - y²) dy = 0, such that y(1) = 1. Then ( y(2))³ - 12y(2)…MCQMediumJEE 2023
- 06The slope of the tangent at any point (x, y) on a curve y = y(x) is (x² + y²)/2xy, x > 0. If y(2) = 0, then a value of y(8) is:MCQMediumJEE 2023
Frequently asked questions
Our bank has 6 previous-year JEE Mathematics questions tagged to Homogeneous Differential Equations, drawn from JEE papers between 2023 and 2026, including 1 from 2026 alone. Each comes with a full step-by-step solution.
Homogeneous Differential Equations is rated Intermediate overall for JEE Mathematics. The PYQs on this page break down as 6 medium.
All 6 previous-year Homogeneous Differential Equations questions in our bank are multiple-choice (MCQ) questions.
Based on recent paper analysis, Homogeneous Differential Equations is worth about 1 mark in JEE Main. It sits in Differential Equations, a Class 12 Mathematics chapter.
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