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1. Consider the following differential equation with initial conditions:
t2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13.
Assume there is a solution of the form: x (t) = t r
a. Show how to find the possible values of r.
b. Show how to use the initial conditions to find a particular solution.
c. Graph your solution on the interval 0 ≤ t ≤ 10. See if you can use Maple to produce and print your graph.
If the p th term of an AP is q and the q th term is p. P.T its n th term is (p+q-n). Ans: APQ a p = q a q = p a n = ? a + (p-1) d = q a + (q-1) d = p
state tha different types of models used in operations research.
Given f (x) =10x^3 - x^5 , find all intervals(in Interval Notation) of Concavity and the x-values of all Inflection Points.
HOW MANY TENS ONES AND HUNDRED ARE IN A GROUP OF 2
The ratio of the sum of first n terms of two AP's is 7n+1:4n+27. Find the ratio of their 11th terms . Ans: Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t
PROOF OF VARIOUS INTEGRAL FACTS/FORMULAS/PROPERTIES In this section we've found the proof of several of the properties we saw in the Integrals section and also a couple from t
Direction Cosines This application of the dot product needs that we be in three dimensional (3D) space not like all the other applications we have looked at to this point.
If a school has lockers with 50 numbers on each combination lock, how many possible combinations using three numbers are there.
find the volume of a rectangular based right pyramid with its base 18 cm by 24 cm and the slanted edge 39 cm
y+7 3y-2 --- = 1 + ---- 3 5
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