Consider the ODE (4 + x²)y" - 2xy' + y = 0. Write the general solution of the ODE by finding two power series solutions about the ordinary point x = 0. Write out the first three nonzero terms in each series.

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Q: 2. Matrix A below is a singular matrix, calculate the value(s) of q. A = [3 2²²q] 32- [5 marks]

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A: a. Let A= {0,1,2,3}R2= {(0, 0), (0, 1), (1, 1), (1, 2), (2, 2), (2, 3)} the direct graph of R2 will…

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Q: 5. Evaluate the following integrals: a. Sexy dy b. ffx-¹ y dydx C. S²x dzdydx

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