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:
x: | 0.1 | 0.2 | 0.3 | 0.4 |
y: | 0.9975 | 0.9900 | 0.9776 | 0.9604 |
(CS Paper 2)
EditExplanation
The forward difference table is:
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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)
EditExplanation
We have
Step (1) Here,
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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)
EditExplanation
Given, Ordinary differential equation is
S. F. is
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Question 152
Appeared in Year: 2013
Describe in Detail Subjective▾
Solve the Differential Equation
(CS Paper 1)
EditExplanation
Comparing (1) with
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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)
EditExplanation
Given,
Taking Laplace transform of the given differential equation
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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)
EditExplanation
We know that the lines
And
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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)
EditExplanation
The given cone is
Compare it with
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