Production and Industrial Engineering
GATE PI Differential Equations PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–14 of 14. Imported answers require independent review unless marked reviewed.
Question 4
Open questionPIMCQ1 markNeeds review
If roots of the auxiliary equation of
are real and equal, the general solution of the differential equation isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 26
Open questionPIMCQ2 marksNeeds review
If the Laplace transform of
is
, the Laplace transform of
isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 27
Open questionPIMCQ2 marksNeeds review
General solution of the Cauchy-Euler equation
isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 36
Open questionPINAT2 marksNeeds review
Consider the differential equation
with initial conditions: at
,
and
. The value of y (up to two decimal places) at
is _____Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer