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  • Pregunta: In Problems 7–18 find two power series solutions of the given differential equation about the ordinary point x = 0. 0. - 7. y" – xy = 0 8. y" + x²y = 0 9. y" - 2xy' + y = 0 10. y" -- xy' + 2y = 0 11. y" + xły' + xy = 0 12. y" + 2xy' + 2y = 0 13. (x - 1)y" + y = 0 14. (x + 2)y" + xy' - y = 0 15. y" - (x + 1)y' - y = 0 16. (x2 + 1)y" – 6y = 0 17. (x² + 2)y" +

    #6 and #15 pls

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    Texto de la transcripción de la imagen:
    In Problems 7–18 find two power series solutions of the given differential equation about the ordinary point x = 0. 0. - 7. y" – xy = 0 8. y" + x²y = 0 9. y" - 2xy' + y = 0 10. y" -- xy' + 2y = 0 11. y" + xły' + xy = 0 12. y" + 2xy' + 2y = 0 13. (x - 1)y" + y = 0 14. (x + 2)y" + xy' - y = 0 15. y" - (x + 1)y' - y = 0 16. (x2 + 1)y" – 6y = 0 17. (x² + 2)y" + 3xy' - y = 0 18. (x2 - 1)y" + xy' - y = 0)
Texto de la transcripción de la imagen:
In Problems 7–18 find two power series solutions of the given differential equation about the ordinary point x = 0. 0. - 7. y" – xy = 0 8. y" + x²y = 0 9. y" - 2xy' + y = 0 10. y" -- xy' + 2y = 0 11. y" + xły' + xy = 0 12. y" + 2xy' + 2y = 0 13. (x - 1)y" + y = 0 14. (x + 2)y" + xy' - y = 0 15. y" - (x + 1)y' - y = 0 16. (x2 + 1)y" – 6y = 0 17. (x² + 2)y" + 3xy' - y = 0 18. (x2 - 1)y" + xy' - y = 0)