Question: Can I get help with these please? 1. Find two linearly independent power series solutions for the differential equation y - xy'- y = 0

Can I get help with these please?

1. Find two linearly independent power series solutions for the differential equation y "- xy'- y = 0 about x = 0. (Answer should be given to the x7 term.) 2 . Find the general power series solution for the differential equation (x + 1)y"+y=0 about x = 0. (Answer should be given to the x5 term.) 3. Find two linearly independent power series solutions for the differential equation 4x y " - 2xy' + xy= 0 about x = 0. (Answer should be given to the x3+ term.) 4. Find the general power series solution for the differential equation 2x2 y "+xy' - (x+ 1) y=0 about x = 0. (Answer should be given to the x3+ term.)

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