In Problems 1-40 find the general solution of the given differential equation. State an interval on which the general solution is defined. 5y 1. dy dx dy 3. 3 +12y = 4 dx dy dx 7. y' + 3x²y = x² 9. x²y' + xy = 1 11. (x + 4y2) dy + 2y dx = 0 13. x dy = (x sin x - y) dx 14. (1 + x²) dy + (xy + x³ + x) dx = 0 dy dx 5. + y = e³x 15. (1 + e¹) - + e*y = 0 dy 2. + 2y = 0 dx 4. x 6. dy dx 12. dy dx = + 2y = 3 8. y' + 2xy = x³ 10. y' = 2y + x² + 5 dx dy = y + ex x + y 16. (1 – x³) - dy dx = 3x²y

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