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Mock Interview Question & Answer

The document outlines a mock interview component for the Engineering Mathematics-I course, detailing various questions and answers related to differential equations, Beta and Gamma functions, and the Runge-Kutta method. It includes specific conditions for exact differential equations, methods for solving non-exact equations, and properties of the Gamma function. The document is intended for first-year B.Tech students and is coordinated by Dr. Jagtap H. S. and Dr. S. V. Desale.

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omraul2003
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174 views2 pages

Mock Interview Question & Answer

The document outlines a mock interview component for the Engineering Mathematics-I course, detailing various questions and answers related to differential equations, Beta and Gamma functions, and the Runge-Kutta method. It includes specific conditions for exact differential equations, methods for solving non-exact equations, and properties of the Gamma function. The document is intended for first-year B.Tech students and is coordinated by Dr. Jagtap H. S. and Dr. S. V. Desale.

Uploaded by

omraul2003
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Department of Applied Sciences & Humanities

Term Test Additional Component

Subject: Engineering Mathematics-I Common to All (RCP23FCBS101)


Class: F. Y. B. Tech.

Component 2: Mock Interview (05 Marks)

Sr.
Questions Answer
No.
State the condition for a The differential equation Mdx  Ndy  0 is said to be
differential equation to be exact.
1 M N
exact if  holds
y x
How can we solve a non-exact We try to find an integrating factor, when this integrating
2 differential equation? factor is multiplied with the non-exact equation, the new
equation becomes exact.
If the differential equation is 1
3 homogeneous and not exact, I .F . 
What is the integrating factor
Mx  Ny
What is the relation between
m. n
4 Beta and Gamma functions? B(m, n) 
m.n

5 What is the Beta function?


6 Evaluate 0 x3e x dx.
(note the number may vary)
Properties of gamma function
1
few examples are 1  1,  ,
7 2
n  1  n n, n  1  n!
8 If the roots of the characteristic If rootscomplex say   i , then
equation are complex, how does
this affect the Complementary C.F .  c1 cos  x  c2 sin  x  e x
Function (CF)?
What is The formula for the 1
9 fourth-order Runge-Kutta y1  y0  k  2(k2  k3 )  k4 
6 1
method?

What are k1 , k2 , k3 & k4 in R-K k1  h. f ( x0 , y0 )


method?
 h k 
k2  h. f  x0  , y0  1 
 2 2
10
 h k 
k3  h. f  x0  , y0  2 
 2 2

k4  h. f  x0  h, y0  k3 

Subject Coordinator H.O.D

Dr. Jagtap H. S. Dr. S. V. Desale

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