NDA Differential Equations questions with solutions
Order, degree and solutions of differential equations. 30 questions from our 2016–2025 NDA pattern papers, from the Class 12 Mathematics syllabus. Each has the answer and a full solution.
Also practise: Differential Equations for JEE Main · Differential Equations for JEE Advanced
NDA 2025
- The number of arbitrary constants in a particular solution of a third order differential equation is
- If dy/dx=y/x and y(1)=2, then y(3) is equal to
- If dy/dx=1+y^2 and y(0)=0, then y((π)/(4)) is equal to
- Find the general solution of the equation xdy/dx+y=x^2 for x>0.
- The degree of the differential equation y'''+(y')^2=0 is 2. 2. The general solution of a second order differential equation contains three arbitrary…
NDA 2024
- A solution of the differential equation (d^2y)/(dx^2-4y=0?
- The solution of dy/dx=2xy satisfying y(0)=1 takes the value ____ at x=1.
- The solution of dy/dx+2y=0 with y(0)=3 takes the value ____ at x=ln 2.
- The differential equation y''+sin y'=0 has degree 1. 2. The differential equation of the family y=ax^2+bx (a,b arbitrary constants) is of order 2.
NDA 2023
- If xdy/dx+2y=x^2 for x>0 and y(1)=1, then y(2) is equal to
- The curvature-type equation [1+(dy/dx)^2]^3/2=(d^2y)/(dx^2 is first cleared of its fractional power. After this, its order and degree are respectively
- The differential equation of the family of parabolas y^2=4ax, where a is an arbitrary constant, is
- Y=e^2x satisfies the equation (d^2y)/(dx^2-4y=0. 2. y=sin x satisfies the equation (d^2y)/(dx^2+y=0.
NDA 2021
NDA 2020
- A particular solution of a differential equation of order four contains how many arbitrary constants?
- Solving (1+x^2 dy=(1+y^2 dx by separating the variables gives the general solution
- The differential equation dy/dx+xy^2=x^2 is linear. 2. The differential equation dy/dx=e^xsin y can be solved by separating the variables.
- The curves satisfying dy/dx=(x^2+y^2/(2xy) form the family
NDA 2019
- The degree of the differential equation sin (dy/dx)=x+y is
- The curve satisfying dy/dx=-x/y and passing through the point (0,3) is
- The curve satisfying (1+x^2dy/dx=1+y^2 and passing through the point (0,1) is
- The differential equation whose general solution is y=Acos 2x+Bsin 2x, where A,B are arbitrary constants, is
NDA 2018
NDA 2017
NDA 2016
Other Mathematics topics
Three Dimensional Geometry 48Vector Algebra 60Complex Numbers and Quadratic Equations 35Binomial Theorem 16Sequences and Series 36Quadratic Equations 27Permutations and Combinations 25Statistics 35Probability 27Matrices 37Determinants 13Sets, Relations and Functions 39Binary Number System 11Logarithms 11Inverse Trigonometric Functions 22Trigonometric Functions and Identities 49Trigonometric Equations 16Properties of Triangles 18Heights and Distances 12Straight Lines 43Circles 21Conic Sections 28Limits 23Continuity and Differentiability 16Application of Derivatives 34Derivatives 33Integrals 16Definite Integrals 23Application of Integrals 12