O Consider the first order ODE dy + 3e-*y") dr – 3e Show that this is an exact equation, and hence, determine an implicit solution for y(x).

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A: This problem is solved by the concept of recurrence relation

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A: Use partial fractions

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A: Explanation of the solution is given below...

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A: To find: P(9)

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A: Substitute x=y in the given equation Then x2(x-y)2=0 ....... (1) and x2-y2=0 ....... (2)

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Q: The annihilator operator form for the function e + cos(2x) is:

A: The annihilator operator form for the function ex+cos(2x) .

Q: Which of the following functions do not form a set of fundamental solutions of y"-4y C Select one:…

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Q: Assuming that f(x) is of the form A · B², write an expression for f(x): f(x) = _]

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A: Given,

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Q: 3.- Find the general solution of the ODE "+3y"+3y+y=0

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Q: What's the solution of the following ODE y/ - 4 y = x a. C1 e* + C2 e* - 1/8 + x²/4 b. C1 e2x + C2 e…

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