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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
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+
what is 10+10
What fraction could you add to 4/7 to get a sum greater than 1
A man on a top of a tower observes a truck at an angle of depression α where tanα = 1/√5 and sees that it is moving towards the base of the tower. Ten minutes later, the angle of
sine law application
What is Metric System explain in brief? There are two main systems of measurement in use today. Most countries in the world use the Metric System. In only three countries-the
what value of k is he sequence 2k+4,3k-7,k+12 are in an arithmetic sequence is
Evaluate the following integral. ∫√(x 2 +4x+5) dx Solution: Remind from the Trig Substitution section that to do a trig substitution here we first required to complete t
i have trouble going through problem in this lesson. Markdown and Markups are theh ones im stuck in
what is 3/10-2/13
All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i
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