Class 12 Maths CBSE Differential Equations Board Questions

Here we provide Class 12 maths important notes,board questions and predicted questions with Answers for chapter Differential Equations. These important notes,board questions and predicted questions are based on CBSE board curriculum and correspond to the most recent Class 12 maths syllabus. By practising these Class 12 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 12 Board examinations.

Class 12 CBSE Differential Equations Board Questions

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Important Questions
Board Questions





Differential Equations Board Questions
Differential Equations
2016
Q1 (a) Find the particular solution of the differential equation
(1 - y2)(1 + log x)dx + 2xy dy = 0 , given that y = 0 when x = 1
(b) Find the general solution of the following differential equation :
(1 + y2) + ( x - etan-1y)
dy / dx
= 0

solutions
2017
Q2 Solve the differential equation ( tan-1 x - y)dx = ( 1+ x2)dy

solutions
Q3 Find the particular solution of the differential equation ( x- y)
dy / dx
= ( x + 2y), given that y = 0 when x = 1

solutions
2018
Q4 From the differential equation representing the family of curves y = e2x ( a + bx) where a and b are arbitrary constants

solutions
Q5 Find the order and degree of the differential equation : x2
d2y / dx2
= { 1 + (
dy / dx
)2}4

solutions
Q6 Solve the differential equation xdy - ydx = √x2 + y2 dx, given that y =0 when x = 1
OR

Solve the differential equation : (1 + x2)
dy / dx
+ 2xy - 4x2 = 0, subject to the initial y(0) = 0

solutions
2019
Q7 Solve the differential equation cos(
dy / dx
) = a, (a ∈ R)

solutions
Q8 Solve the differential equation (x2 - y2)dx + 2xydy = 0
OR

Find the particular solution of differential equation (1 + x2)
dy / dx
+ 2xy =
1 / 1 + x2
given that y = 0 when x = 1

solutions
2020
Q9 The number of arbitrary constants in the particular solution of differential equation of second order is (are)
(A) 0
(B) 1
(C) 2
(D) 3

solutions
Q10 Find the general solution of the differential equation
y eydx = (y3 + 2x ey) dy
OR

Find the particular solution of the differential equation
x
dy / dx
= y - x tan(
y / x
) , given that y =
π / 4
at x = 1

solutions

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