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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+
Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the
whats 2*2
Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w
what is x(5x4)=26?
what is the length of a line segment with endpoints (-3,2) and (7,2)?
what is 8e^3x + 4 = 15
GENERAL RULE A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or th
2.5 in\ \/
what is 24 diveded by 3
Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each mo
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