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

Evaluate limit, Evaluate the given limit. Solution: In this quest...

Evaluate the given limit. Solution: In this question none of the earlier examples can help us. There's no factoring or simplifying to accomplish.  We can't rationalize &

20 MARK QUESTION, Let E; F be 2 points in the plane, EF has length 1, and l...

Let E; F be 2 points in the plane, EF has length 1, and let N be a continuous curve from E to F. A chord of N is a straight line joining 2 points on N. Prove if 0 Prove that N ha

Forced - damped vibrations, It is the full blown case where we consider eve...

It is the full blown case where we consider every final possible force which can act on the system. The differential equation in this case, Mu'' + γu'  + ku = F( t) The displ

Green function, greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t...

greens function for x''''=0, x(1)=0, x''(0)+x''(1)=0 is G(t,s)= {1-s for t or equal to s

Sequences and series - calculus, Sequences and Series In this section ...

Sequences and Series In this section we will be taking a look at sequences and infinite series.  In fact, this section will deal approximately exclusively with series.  Though

Example of infinite interval - improper integrals, Evaluate the subsequent ...

Evaluate the subsequent integral. Solution This is an innocent enough looking integral. Though, because infinity is not a real number we cannot just integrate as norm

How many inches is the smaller dimension of the decreased, A photographer d...

A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori

Find the original average of boys and girls in the class, When 6 boys were ...

When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find the original no. of boys and girls in the class. Ans: Let the no. of Boys be x

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