NCERT Solutions for class 12 Maths | Chapter 9 - Differential Equations
Questions
1
The curve for which the slope of the tangent at any point is equal to the ratio of the abcissa to the ordinate of the point is
Answer:rectangular hyperbola
2
Family y = Ax + A³ of curves will correspond to a differential equation of order
Answer:2
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4
Integrating factor of the differential equation dy/dx + y tan x – sec x = 0 is
Answer:sec x
7
The solution of the differential equation cos x sin y dx + sin x cos y dy = 0 is
Answer:sin x sin y = c
represents
10
Which of the following is a second order differential equation?
Answer:y’y” + y = sin x
when y(1) = 2 is
12
Family r = Ax + A³ of curves is represented by the differential equation of degree
Answer:2
13
Integrating factor of the differential equation cos x dy/dx + y sin x = 1 is
Answer:sec x
14
Solution of differential equation xdy – ydx = Q represents
Answer:straight line passing through origin
15
The order and degree of the differential equation
= 0 respectvely, are
Answer:2 and not defined
19
The radius of a circle is increasing at the rate of 0.4 cm/ s. The rate of increasing of its circumference is
Answer:0.8 π cm/s
20
Integration factor of differential equation dy/dx + py = Q, where P and IQ are functions of x is
Answer:None of these
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