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

Regrouping, in regrouping if we have abig number in the end what should i d...

in regrouping if we have abig number in the end what should i do?add an number on top of it,please help

Math project , Topic 1: Statistical Studies Find two different news storie...

Topic 1: Statistical Studies Find two different news stories in a mainstream media source (CNN, FoxNews, Newsweek, etc.), that cite data from a recognized poling agency. Locate th

Choose a topic in measurement and design two activities, a) Choose a topic ...

a) Choose a topic in measurement, and design two activities in your context to help your pupils explore and learn the concept. b) Try these activities out on a few children, and

Index number, reflection about index number in a creative way

reflection about index number in a creative way

Hexagon, how many sides does a regular hexagon have?

how many sides does a regular hexagon have?

Trignomatry, what is the trignomatry ratio

what is the trignomatry ratio

Operations and properties, use an expression to write an expression with fi...

use an expression to write an expression with five 3s that has a value of 0

Simple interest, find the simple interest on Rs. 68,000 at 50/3 per annum f...

find the simple interest on Rs. 68,000 at 50/3 per annum for 9 month

Find poq of tangents drawn to the circle, In figure, O is the centre of th...

In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:

Solve for x and y liner equation, Solve for x , y (x + y - 8)/2   ...

Solve for x , y (x + y - 8)/2   =( x + 2  y - 14)/3 = (3 x + y - 12 )/ 11   (Ans: x=2, y=6) Ans :     x+ y - 8/2  =   x + 2y - 14 /3  =    3x+ y- 12/11

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