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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+
In polynomials you have seen expressions of the form x 2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we cal
Two planes leave the airport at the similar time. Minutes later, plane A is 70 miles due north of the airport and plane B is 168 miles due east of the airport. Determine the distan
show that, sin 90 degree = 2 cos 45 degree sin 45 degree
if 500kg of food lasts 40 days for 30 men.how many men will consume 675kg of food in 45 days.
Make a file called "testtan.dat" which has 2 lines, with 3 real numbers on every line (some negative, some positive, in the range from-1 to 3). The file can be formed from the edi
An irrigation system uses a straight 30m sprinkler pipe which is capped at one end and arranged so that all water is released directly downwards and pivots around a central point.
use the distributive law to write each multiplication in a different way. the find the answer. 12x14 16x13 14x18 9x108 12x136 20x147
Solve 2x^2 + 5x + 36
The Robin's Nest Nursing Home had a fundraising target of $9,500. By the end of the fundraiser, they had exceeded their goal through $2,100. How much did they raise? Exceeded
Adding Rational Expressions with Common Denominators To add or subtract fractions or rational expressions with common denominators, all you do is add or subtract the numerators
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