# Mathematical Methods of Physics-Linear 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

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Appeared in Year: 2013

MCQ▾

### 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

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Appeared in Year: 2014

MCQ▾

### 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

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Appeared in Year: 2012

MCQ▾

### 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

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Appeared in Year: 2011

MCQ▾

### 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

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Appeared in Year: 2011

MCQ▾

### 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

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