H(s) = 13s² + 46s + 133 (s + 1)² (s² + 6s +25)
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inverse laplace
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- Uses series to solve 2D^2 y + xy + y = 0A company wants to increase the 10% peroxide content of its product by adding pure peroxide. If x liters of pure peroxide are added to 500 liters of its 10% solution, the concentration, C, of the new mixture is given byHow many liters of pure peroxide should be added to produce a new product that is 28% peroxide?What is the solution of (x2+2xy-4y2)dx - (x2- 8xy - 4y2)dy = 0?
- What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3. A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank B whose interest rate was y % per annum. Her total interest in two years was GH¢ 6,400. If she had saved GH¢ 20,000 in bank A and GH¢ 30,000 in bank B for the same period, he would have gained GH¢ 200 as additional interest. Find the values of X and YHow does h(n) = n2 / 2n behave for large whole-number values of n? Does h(n) tend to infinity?