Differential equation and laplace transform, Mathematics

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

Posted Date: 2/22/2013 12:01:58 AM | Location : United States







Related Discussions:- Differential equation and laplace transform, Assignment Help, Ask Question on Differential equation and laplace transform, Get Answer, Expert's Help, Differential equation and laplace transform Discussions

Write discussion on Differential equation and laplace transform
Your posts are moderated
Related Questions
We'll include this section with the definition of the radical.  If n is a +ve integer that is greater than one and a is a real number then, Where n is termed as the index,

R is called as a transitive relation if (a, b) € R, (b, c) € R → (a, c) € R In other terms if a belongs to b, b belongs to c, then a belongs to c.         Transitivity be uns

Give the Proofs in Mathematics ? 1 Two-column deductive proof Proof: Statements                                                              Reasons * Start with given c

how to make 2.3 into a fraction?

Derivatives of Trig Functions In this section we will see derivatives of functions other than polynomials or roots of polynomials. We'll begin this process off through taking

Determine the domain of each of the following functions.                         f( x ) = x - 4 / x 2 - 2 x -15 Solution With this problem we have to avoid division by

The Laser Computer Printer Company decides monthly what to produce during the subsequent month. They produce three types of printers, the Laser Rocket, the Alpha Laser, and the La

maximize Z=2x+5y+7z, subject to constraints : 3x+2y+4z =0


hi i would like to ask you what is the answer for [-9]=[=5] grade 7