Answer Happy

Solve the initial value problems in Numbers 13, 15, 16,17, and19 please
11. æ dr — g? dy=0, g(0)=1 13. (t² + 1) dt+ (x² + x) dx = 0, x(0) = -1 x² y (2 + x³) 17. xy' =√1-y², y(1) = 0 15. y 19. y' = y(0) = 1 ty + 2t+y+2' -2 y(0) = -3 12. 14. 16. 18. dx dx dt dy dx dy dt dx 20. dt x(0) = 0 = = x² - 6x +14, x(0) = 3 || y(1) = -2 = sin a y y(0) = 2 4t - t³ 4+y³' y(0) = 1 = xet + 3et+x - 3,