Class 12 Maths ISC 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 ISC 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 ISC Differential Equations BoardQuestions




Differential Equations BoardQuestions
2016
Q1 Solve the differential equation : x
dy / dx
+ y = 3x2 - 2


solutions
Q2 Solve the following differential equation :
x2 dy + (xy + y2) dx = 0 , when x =1 and y = 1


solutions
2017
Q3 Solve :
dy / dx
= 1 - xy + y - x


solutions
Q4 Solve : (x2 - yx2)dy + (y2 + xy2)dx = 0

solutions
2018
Q5 Find the differential equation of the family of concentric circles x2 + y2 = a2

solutions
Q6 (a) Solve : sinx
dy / dx
- y = sinx.tan
x / 2

OR

(b) The population of a town grows at the rate of 10% per year. Using differential equation find how long will it take for the population to grow 4 times.


solutions
2019
Q7 Solve :
dy / dx
=
x + y + 2 / 2(x + y) - 1


solutions
2020
Q8 Form a differential equation of the family of the curves y2 = 4ax

solutions
Q9 Solve :
(1 + x2)
dy / dx
= 4x2 - 2xy


solutions

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