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NCERT Questions for Class 12 Maths Chapter 9 – Differential Equations
Important questions on Class 12 Maths Differential Equations can help students to perform well on the CBSE Class 12 Maths exam. These NCERT important questions were created by experts with the most recent syllabus. It is advised that students thoroughly prepare for the board exams by practicing the important questions for every chapter in 12th standard maths course provided by StudyMaterialsOnline.
Important Questions with Solutions of Class 12 Maths Chapter 9 – Differential Equations
1) Provide the general solution for the following differential equations
(i)
Ans –
integrating on both sides we get
(ii)
Ans –
integrating on both sides we get
Substituting the values of t and dt into equation (1)
y = log|t| + c
Substituting t = ex – e-x
=> y = log|ex – e-x| + C
2) Determine the integrating factor for the subsequent differential equations.
(i)
Ans –
It is a linear differential equation of the form dy/dx + py = Q.
Perform integration by parts
(ii)
Ans –
It is of the form dy/dx + py = Q.
t = tan x
dt = sec2 udn
3) Determine the order of the differential equation for the family of following curves
(i) y = Aex + Bex+c
Ans – y = Aex + Bex+c
y = ex(A+Bec)
= Rex
dy/dx = Aex + Bex+c
dy/dx = y
=> the order is one.
(ii) (x – a)2 + (y – b)2 = 9
Ans – Differentiate with respect to x
