Find the general solution of the ODE. x²y" 2y 3x² - 1 = x>0 Find the general solution of the ODE on (0,∞). x²y"-xy' + y = 2x

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A: Step 1: Step 2: Step 3: Step 4:

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Q: Subject: Optimization Engineering Please solve this problem

A: Step 1: Step 2:Step 3:Step 4: Put x_1 and x_2 in f(x). if we need optimal value.

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A: A = 95 1 120 1 180 1 220 1 C = 13000 14300…

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A: Step 1:(a) => (b):  If ( R ) is local, then it has a unique maximal ideal, denoted by ( M ). The…

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A: Step 1: Step 2: Step 3: Step 4:

Q: Find the Fourier series of the given function f(x) = x² (-<x<π), p=2π

A: Step 1:Let the Fourier series be, f(x)≈2a0​​+∑n=1∞​[an​cos(nx)+bn​sin(nx)],  where…

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A: Reference : Partial differential equation, Wave equation, One dimensional

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Q: 2. 3y² dy/dx-1=3x²+6ydy/dx, y(0) -1 and determine the interval of x in which the solution is…

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Q: I need help with part b please to find the two models which use the best subset of variables. thanks

A: References; Heinberg, R. (2021). Power: Limits and prospects for human survival. New Society…

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Q: I need to find the two models in part b. Please give final answer

A: Key references: Van Driessche, C., Everts, T., Neyrinck, S., &amp; Brys, R. (2023). Experimental…