Mathematical Methods of PhysicsLinear Ordinary Differential Equations of First & Second Order (CSIR Physical Sciences): Questions 1  4 of 5
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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. 
