Differential equation and laplace transform, Mathematics

Assignment Help:

1. Solve the given differential equation, subject to the initial conditions:

. x2y''-3xy'+4y = 0

. y(1) = 5, y'(1) = 3

2. Find two linearly independent power series solutions for each differential equation about the ordinary point x=0

Y'' - xy' - (x+2)y=o

3. Use the definition of the Laplace Transform, to find

L{e-t cosht}

4. Find f(t) if : f(t)=L-1 

1050_maths.png

5. Solve : y'+y= f(t)

where: f(t) = { 1 if 0 ≤ t < 1

{-1 if t ≥ 1

Recall that if f(t) = { g(t) if 0 ≤ t < a

{ h(t) if t ≥ 1

Then f(t)=g(t)-g(t)u(t-a)+h(t)u(t-a)

6. y'(t) = cos t+

2074_maths1.png


Related Discussions:- Differential equation and laplace transform

What is larry''s salary after the raise, Larry earned $32,000 per year. The...

Larry earned $32,000 per year. Then he received a (3)1/4% rise. What is Larry's salary after the raise? If Larry earns a (3) 1/4 % (or 3.25%) raise, he will earn 103.25% of his

Volume of grains in the silo , The volume of grains in a silo at a particul...

The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m 3 . Find the rate of change of the volume of grains in the silo from first pri

Ampltude and period, find the amplitude and period of y=3 sin 2 pi x

find the amplitude and period of y=3 sin 2 pi x

Fraction word problems, Alan had 6 books. He read 1/3 of books last week. ...

Alan had 6 books. He read 1/3 of books last week. How many books did Alan read last week?

Matrices, problem faced by students

problem faced by students

Math probles, Belleville lake was originally blue because it only had 11 al...

Belleville lake was originally blue because it only had 11 algae plants. then towns and farms cropped up by the lake .this cause 446 more algae plants to grow which turned the lake

Probability, Probability -Probability is an extremely popular concept ...

Probability -Probability is an extremely popular concept in business management. Since it covers the risks such may be included in certain business situations. This is a fact

Which of the following sets are equal, Which of the following sets are equa...

Which of the following sets are equal? S 1 = {1, 2, 2, 3}, S 2 = {x | x 2 - 2x + 1 = 0}, S 3 = {1, 2, 3}, S 4 = {x | x 3 - 6x

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd