IAS (Admin.) Mains Mathematics: Questions 149 - 155 of 668

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Question 149

Appeared in Year: 2012

Describe in Detail Subjective▾

Find at from the following data:

Table Shows the Value of X and Y
x:0.10.20.30.4
y:0.99750.99000.97760.9604

(CS Paper 2)

Edit

Explanation

The forward difference table is:

Shows the Forward Difference Table

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Question 150

Appeared in Year: 2014

Describe in Detail Subjective▾

Use Runge – Kutta formula of forth order to find the value of y at where , Take the Step length (CS Paper 2)

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Explanation

We have

Step (1) Here,

… (738 more equations) …

Question 151

Appeared in Year: 2011

Describe in Detail Subjective▾

Obtain the general solution of the second order ordinary differential equation

Where dashes denotes derivatives w. r. t (CS Paper 1)

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Explanation

Given, Ordinary differential equation is

S. F. is

… (539 more equations) …

Question 152

Appeared in Year: 2013

Describe in Detail Subjective▾

Solve the Differential Equation

(CS Paper 1)

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Explanation

Comparing (1) with

… (158 more equations) …

Question 153

Appeared in Year: 2013

Describe in Detail Subjective▾

By using Laplace Transform method, solve the differential equation,

subject to the initial conditions and at in which are constants. (CS Paper I)

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Explanation

Given,

Taking Laplace transform of the given differential equation

… (645 more equations) …

Question 154

Appeared in Year: 2015

Describe in Detail Subjective▾

Verify is the lines:

And

Are coplanar. If yes, then find the equation of the plane in which they lie. (CS Paper 1)

Edit

Explanation

We know that the lines

And

… (263 more equations) …

Question 155

Appeared in Year: 2016

Describe in Detail Subjective▾

Show that the cone has an infinite set of three mutually perpendicular generators. If is a generator belonging to one such set, find the other two. (CS Paper 1)

Edit

Explanation

The given cone is

Compare it with

… (718 more equations) …