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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)
B is the midpoint of AC. AB=8v, and AC=2v+42. What is BC?
ifth grader students measured the perimeter of some rooms and objects in their school.. the perimeter of their classroom is 120 feet. The perimeter of the nurse's office is 3/4 the perimeter of their classroom. what is the perimeter of the nurse's..
the local varsity club spent 40 of its budget on art supplies 15 percent on t-shirts 10 percent on photocopying. if the
Probability : Distribution and Expected Value, A large sports conference moved to have women compose at least 40% of its athletics within 5 years
a bank gives each new customer a 4-digit code number which allows the new customer to create their own password. the
What is the chain rule, addition rule, and multiplication rule?
Consider a sequence of Bernoulli trials X1, X2, X3,..., when Xn =1 or 0. Assume Pr{Xn=1 l X1, X2, ..., X(n-1)} >= alpha > 0, n=1,2,...Prove that :a) Pr{Xn =1 for some n} = 1
Find the equation of the tangent plane to the surface at the point (3, -1, 15). Using the differentials (or linear approximation) evaluate the approximate value of z on the surface when x = 3.01 and y = -1.01.
$52,000 is invested in an account at interest rate r = 5.1%, compounded continuously. Find the time required for the amount to double. (Approximate the result to two decimal places.)
How many ATM cells (described in Example 28) can be transmitted in 10 seconds over a link operating at the following rates?
How much farther must the person walk to be completely out of the silo's shadow? (Round your answer to 2 decimal places.)
A pig farmer wants to enclose a rectangular area and then divide it into five pens with fencing parallel to one side of the rectangle. There are 650 feet of fencing available to complete the job. What is the largest possible total area of the five ..
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