In each of Problems 5 through 8, determine a lower bound for the radius of convergence...

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In each of Problems 5 through 8, determine a lower bound for the radius of convergence of series solutions about each given point xo for the given differential equation. 5. "+4y+6xy = 0; X0=0, x0 =4 6. (x²-2x-3)y" + xy' + 4y = 0; xo 4. xo=-4, x=0 7. (1+x³)y" + 4xy' + y = 0; 8. xy"+y=0; xo=1 X0=0, xo=2 In each of Problems 5 through 8, determine a lower bound for the radius of convergence of series solutions about each given point xo for the given differential equation. 5. "+4y+6xy = 0; X0=0, x0 =4 6. (x²-2x-3)y" + xy' + 4y = 0; xo 4. xo=-4, x=0 7. (1+x³)y" + 4xy' + y = 0; 8. xy"+y=0; xo=1 X0=0, xo=2