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- Find the general solution using Reduction of Order: x2y''-xy'+y=0 y1=ln xJesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $Solve using Reduction of Order. (D^2-1)y=2e^x
- A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at the rate of 4 L/hr, while the well-stirred mixture leaves the tank at the rate of 8 L/hr. If for the first three hours, the solution being poured into the tank contains 2g/L of salt, and for the succeeding hours, the solution being poured in contains 1g/L of salt, find the amount of salt in the tank when the tank starts to overflow.Find f(x) by solving the initial value problemWhat is the solution of (x2+2xy-4y2)dx - (x2- 8xy - 4y2)dy = 0?
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