IAS (Admin.) Mains Mathematics: Questions 119 - 126 of 668
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Question 119
Appeared in Year: 2016
Describe in Detail Subjective▾
Find the Maximum and minimum value of subject to the conditions and (CS Paper 1)
EditExplanation
We want to find the extreme value of
Subject to the Conditions
… (3496 more equations) …
Question 120
Appeared in Year: 2015
Describe in Detail Subjective▾
Solve the initial value problem in the interval using the Runge – Kutta Fourth order method with step size (CS Paper 2)
EditExplanation
We have
Step (1) here,
… (1103 more equations) …
Question 121
Appeared in Year: 2012
Describe in Detail Subjective▾
Find the orthogonal trajectories of the family of curve (CS Paper 1)
EditExplanation
Given,
Differentiating (1) w. r. t
Putting value of in equat…
… (580 more equations) …
Question 122
Appeared in Year: 2015
Describe in Detail Subjective▾
Solve the Partial Differential equation
Where and (CS Paper 2)
EditExplanation
We have, Partial differential Equation
Where and
… (194 more equations) …
Question 123
Appeared in Year: 2009
Describe in Detail Subjective▾
Find the value of using Runge – Kutta forth order method with step size from the initial value problem
(CS Paper 2)
EditExplanation
We have,
Step (1) here,
… (250 more equations) …
Question 124
Appeared in Year: 2013
Describe in Detail Subjective▾
is a function of , such that the differential coefficient is equal to . Find out a relation between , which is free from any derivative/differential. (CS Paper 1)
EditExplanation
Given differential Equation
Let
Diff. (1)…
… (107 more equations) …
Question 125
Appeared in Year: 2011
Describe in Detail Subjective▾
Use Laplace Transform method to solve the following initial value problem:
(CS Paper 1)
EditExplanation
Given,
S. F is
Taking Laplace transform of this equ…
… (221 more equations) …
Question 126
Appeared in Year: 2016
Describe in Detail Subjective▾
Prove that every power series represents an analytic function inside its circle of convergence (CS Paper 2)
EditExplanation
Suppose >
is given power series and
Let …
… (1156 more equations) …