Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A functiony(t)such that y(0) = 1 and y(1) = 3...
Start Learning for Free
A function y(t) such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation 
. Then y(2) is
. Then y(2) is- a)5e−1
- b)5e−2
- c)7e−1
- d)7e−2
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the...
By applying the Laplace transform,
s2Y(s) − sy(0) − y′(0) + 2sY(s) − 2y(0) + Y(s) = 0
By applying the inverse Laplace transform
y(t) = e−t + (1 + y′(0))te−t
y(1) = 3 e-1
⇒ y(1) = e-1 + (1 + y’(0)) e-1 = 3 e-1
⇒ y’(0) = 1
Now the equation of y(t) becomes
y(t) = (1 + 2t) e-t
At t = 2,
y(2) = 5 e-2
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Top Courses for Electrical Engineering (EE)View all
A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer?
Question Description
A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer?.
A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer?.
Solutions for A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A functiony(t)such that y(0) = 1 and y(1) = 3e-1, is a solution of the differential equation.Theny(2)isa)5e−1b)5e−2c)7e−1d)7e−2Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup