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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.
1+2cos(2x=0
5 years however, a man's age will be 3times his son's age and 5 years ago, he was 7 times as old as his son. Find their present ages.
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In this theorem we identify that for a specified differential equation a set of fundamental solutions will exist. Consider the differential equation y′′ + p (t ) y′ + q (t
Important formulas d (a b )/ dx = 0 This is a constant d ( x n ) / dx = nx n -1 Power Rule d (a x ) / dx = a x l
(x+15)/y=10 where y=5
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