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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+
A HOSPITAL CURRENTLY ORDERS SALINE AT THE BEGINNING OF EACH MONTH. THIS MONTH, THEY HAD 178 BAGS OF SALINE IN STOCK AND ORDERED 1,277 BAGS. DEMAND FOR SALINE IS NORMALLY DISTRIBUTE
If PA and PB are tangents to a circle from an outside point P, such that PA=10cm and ∠APB=60 o . Find the length of chord AB.
use the Pythagorean Theorem to find the length of the missing side. Then find the indicated trigonometric function of the given angle. give an exact answer with a rational denomina
Kenny used a micrometer to measure the thickness of a piece of construction paper. The paper measured halfway among 0.24 millimeters and 0.25 millimeters. What is the thickness of
If the area of a small size pizza is 78.5 in 2 , what size pizza box would required for the small pizza? (Note: Pizza boxes are calculated according to the length of one side.)
Estimation of population mean If the sample size is small (n In this case Population mean µ = x¯ ± tS x¯ x¯ = Sample mean S x¯ = s/√n S = standard deviation
Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92
into how many smaller part is each centimeter divided
outdoor grill- regular price:$360 discount:33 1/3%
Vector Function The good way to get an idea of what a vector function is and what its graph act like is to look at an instance. Thus, consider the following vector function.
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