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1. For y''-xy'-y=0 about x0=1 find the first four non-zero terms of two linearly independent solutions y1 (x) and y2 (x) .
2. For x2y" xy' +[x2-(1/9)]y=0
a. Show that x = 0 is a regular singular point.
b. Find two linearly independent solutions about this point using the Frobenius Method.
He starts rowing with an angle between North and the direction in which he rows. Find an expression for the time T he will take to get from A to B, in terms of theta.
in automobile manufacturer has determined that 30 of all gas tanks that were installed on its 2002 compact model are
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
An investor recently purchased a corporate bond which yields 9%. The investor is in the 36% combined federal and state tax bracket. What is the bond's after-tax yield?
A truck can be rented from Basic Rental for $50 per day plus $0.20 per mile. Roadrunners charges $20 per day plus $0.50 per mile to rent the same truck. How many miles must be driven in a day to make the rental cost for Basic Rental a better deal ..
eet over a horizontal distance of 456 feet. Find the slope of the path. Round your answer to two decimal places.
You have a choice to build a small new plant, do nothing (the value of this is zero), or build a large plant. We'll use Net Present Value to compute this.
A toy rocket is launched straight up from the top of a building 64 ft tall at an initial velocity of 243 ft per sec. Using the function V(x)=-16t^2+vt+h, answer the following.
A hospital keeps on hand a 5% glucose solution (that is, a solution that is only 5% glucose). If the container holds 500 mL what portion of the content of the container is glucose?
A rancher has 272 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area?
a car traveling at 40ft per second decelerates at a constant 8ft per second squared. How many feet does the car travel before coming to a complete stop?
Compute the maximum altitude the projectile reaches and the time (from launch) for the projectile to reach the maximum altitude. In the above, G,M,R,v0,a,b are all given constants.
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