For the differential equation (x²-16)³(x − 1)y" - 2xy' + y = 0, the point x = 4 is O a. an ordinary point O b. an irregular singular point O c. a regular singular point O d. a special point e.none of the above

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A: *By Bartleby policy I have to solve first 3 subparts only.Repost separately remaining parts.* We…

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Q: .3) Find the solution of the folowing differential equation: in{z) +]

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Q: dy +y: da 20

A: The value of n is -2

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A: Given graph is Take fx, y =y' For equilibrium points put y'=0  then  fx, y =0

Q: 2. The differential equation (x+1)y"+ay" =0 and the following data are assumed; 2 3 5 y 12 45 112…

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Q: . Solve for the differential equation and get the particular solution. 1. ye dx (9- e3*)dy; x 0 y= 1

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A: Please find the attached image.

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A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

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Q: For which values of A, does the general solution of the following differential equation contain the…

A: Cauchy Euler's differential equation

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A: See below the answer and calculation