Determine order and degree (if defined) of differential equations given in Exercises 1 to 10. 1. 4 4 sin( ) 0 d y y dx 2. y + 5y = 0 3. 4 2 2 3 0 ds d s s dt dt 4. 2 2 2 cos 0 d y dy dx dx 5. 2 2 cos3 sin 3 d y x x dx 6. 2 ( ) y + (y) 3 + (y) 4 + y 5 = 0 7. y + 2y + y = 8. y + y = e x 9. y + (y) 2 + 2y = 0 10. y + 2y + sin y = 0 11. The degree of the differential equation 3 2 2 2 sin 1 0 d y dy dy dx dx dx is (A) 3 (B) 2 (C) 1 (D) not defined 12. The order of the differential equation 2 2 2 230 d y dy x y dx dx is (A) 2 (B) 1 (C) 0 (D) not defied
Question 1:4 4 sin( ) 0 d y y dx ✓
Question 2:y + 5y = 0
Question 3:4 2 2 3 0 ds d s s dt dt ✔ ✕ ✘ ✖ ✗ ✚ ✛
Question 4:2 2 2 cos 0 d y dy dx dx ✜ ✢ ✜ ✢ ✣ ✤ ✣ ✤ ✥ ✥
Question 5:2 2 cos3 sin 3 d y x x dx ✓
Question 6:2 ( ) y + (y) 3 + (y) 4 + y 5 = 0
Question 7:y + 2y + y =
Question 8:y✂ + y = e x
Question 9:y + (y✂) 2 + 2y = 0
Question 10:y + 2y✂ + sin y = 0
Question 11:The degree of the differential equation 3 2 2 2 sin 1 0 d y dy dy dx dx dx is (A) 3 (B) 2 (C) 1 (D) not defined
Question 12:The order of the differential equation 2 2 2 230 d y dy x y dx dx is (A) 2 (B) 1 (C) 0 (D) not defied