differential equation

differential equation

In Problems 1–18 solve the given differential equation.
1. x2y” – 2y = 0 2. 4x2y” + y = 0
3. xy” + y’ = 0 4. xy” – 3y’ = 0
5. x2y” + xy’ + 4y = 0 6. x2y” + 5xy’ + 3y = 0
7. x2y” – 3xy’ – 2y = 0 8. x2y” + 3xy’ – 4y = 0
9. 25x2y” + 25xy’ + y = 0 10. 4x2y” + 4xy’ – y = 0
11. x2y” + 5xy’ + 4y = 0 12. x2y” + 8xy’ + 6y = 0
13. 3x2y” + 6xy’ + y = 0 14. x2y” – 7xy’ + 41y = 0
15. x3y'” – 6y = 0 16. x3y'” + xy’ – y = 0
17. xy(4) + 6y'” = 0

18. x4y(4) + 6x3y'” + 9x2y” + 3xy’ + y = 0

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