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Solve differential equation
1. 2x dx/dy + y = 3x4
2.(x+6) dy/dx + y = x2 - 36
3. dy/dx - y/x = (Ln x)2
Slove the differential equation subject to the initial condition.
1. 2 dy/dx - 4xy = 8x
A tank initially contains 100 gallons of brine in which 40 pounds of salt was dissolved. a brine containing 2 lb/gal of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gallons per minute find the solution to the differential equation that models the mixing process.
Find the exact value of the real number y.
1. y= csc-1 (1)2. y= arcsin (-1/2)
a chemist needs 130 milliliters of 57% solution but only has 33% and 85% solutions available. How many milliliters of each should be mixed together to get the desired solution?
You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an $80,000 loan from your family and a $38,250 small business loan. These loans must be repaid in full w..
A piece of software stores information about digital songs and keeps track of when they were listened to Each song is associated with a song name, an artist and an album title; each song is also associated with a unique identifier.
to calculate the height of a tree susie measures the angle of elevation from a point a to be 34 deg. she measures her
What is the radius and center of the circle r = -8sinθ? Convert rcosθ = 4 to rectangular coordinates. Convert 2xy = x2 + y2 to polar coordinates
How many such pairs of letters are there in the word 'CORPORATE', which have as many letters between them in the word as there are, in the English alphabet between the same letter sequence?
through the point(-2,4) and satifies the given condition L is a vertical line and L2 is the horizontal line and X intercept of L is 3 what is the equation
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
at what value of t is the temperature changing the fastest?
the size of shoe a person needs varies linearly with the length of his or her foot.the smallest adult shoe size is size
A rotating light is located 19 feet from a wall. The light completes one rotation every 3 seconds. Find the rate at which the light projected onto the wall is moving along the wall when the light's angle is 20 degrees from perpendicular to the wal..
1. Baking a potato takes a long time, even in a hot oven, because the inside of a potato warms up very slowly. e. Why Can a Microwave do this job more efficiently and quicker? f. What is a potato clock and why does it work?
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