Mathematical Methods of PhysicsLinear Ordinary Differential Equations of First & Second Order (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  5 of 7
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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.  2 

c.  1 

d.  ∞ 

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.  Has a discontinuity of 

b.  Is continuous 

c.  Has a discontinuity of 1 

d.  Has a discontinuity of 3 

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.  1 

b. 


c. 


d. 

