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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.
INTRODUCTION : When a child of seven isn't able to solve the sum 23+9, what could the reasons be? When she is asked to subtract 9 from 16, why does she write 9 - 16 = 13 ?
a. Write an exponential function that could model the information in this graph. b. Describe a business, scientific (not mathematical), or economic situation for what thi
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writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
2sqrt73x
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