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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+
finding the vertex for the function of the form f(x)=ax^2+bx+c
If depreciation/amortisation is done properly, impairment adjustments will not arise. Required: Do you agree with the above statement? Critically and fully explain your
write CxD being sure to use appropriate brackets and find n(CxD)
Here, we have tried to present some of the different thinking and learning processes of preschool and primary school children, in the context of mathematics learning. We have speci
Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri
#question.find the number of combinations of the letters a, b, c, and d taken 3 at a time.
how many mg are there in g?
Diagonals of a trapezium divide each other proportionally: Given : In trapezium ABCD , AB// DC R.T.P :AO/OC = BO/OD Construction: Draw the line PQ; parallel to AB or C
Everything stored on a computer can be represented as a string of bits. However, different types of data (for example, characters and numbers) may be represented by the same strin
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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