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please solve all these question urgently. with full details. Find a power series solution in powers of x. 7. (1 - x2)y - 2xy' +

please solve all these question urgently. with full details.

Find a power series solution in powers of x. 7. (1 - x2)y" - 2xy' + 2y = 0 8. y" + (1 + x2 ) y = 0 9. y" - 4xy' + (4x2 - 2 ) y = 0 10. y" - y' + xy = 0

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