Mathematical Methods of PhysicsLinear Ordinary Differential Equations of First & Second Order (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  5 of 7
Access detailed explanations (illustrated with images and videos) to 464 questions. Access all new questions we will add tracking exampattern and syllabus changes. Unlimited Access for Unlimited Time!
View Sample Explanation or View Features.
Rs. 300.00 or
How to register?
Question number: 1
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2013
Question
A planet of mass m and an angular momentum L moves in a circular orbit in a potential, , where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillation is – (June)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 2
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2014
Question
Consider the differential equation
With the initial conditions and . The solution attains its maximum value when is – (June)
Choices
Choice (4)  Response  

a.  ∞  
b.  1  
c. 
 
d.  2 
Question number: 3
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2012
Question
Let be a continuous real function in the range 0 and , satisfying the in homogeneous differential equation:
The value of at the point . (June)
Choices
Choice (4)  Response  

a.  Is continuous  
b.  Has a discontinuity of  
c.  Has a discontinuity of 3  
d.  Has a discontinuity of 1 
Question number: 4
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2011
Question
The equation of the plane that is tangent to the surface at the point is – (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 5
» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order
Appeared in Year: 2011
Question
Let and be two linearly independent solutions of the differential equation, and let . If , then is given by, (December)
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  1 