7. (11₁ + cos x − 2xy) dy = y(y + sin x); y(0) = 1 1-x-y - - da 8. dx x+y separable linear exact . ⚫ a substitution (homogenous, Bernoulli's or Ax+ By+c)

solve this:

5)* If y=(x-1)v2x–x +Arcsin(x–1), find y. V2x-x O None of the above Option 2 y = Arcsin(x -1) y' =2/2x -x² Option 1 O Option 3

1 3 -1 -1 0 11] |-3 2 5 b 3 and C=-8 9 Given that A=2 1 0 2 5 (а) B = 1 . If C = A" B , a 2 1 7 d 12 find the values of the a, b and c. 3 5 -1] Given that B=-2 0 1 у -3 (b) Find the values of x and y if M, =10 and C, =9. %3D

If the function f(t) isC (I) then f'(t) isC² (I) True False

The figure below shows a snapshot of the travelling wave in space at some arbitrary time to > 0. Based on the form of the travelling wave, which of the options below represents the correct time-varying disturbance f (t) that gave rise to this transmission from the communications tower? You may assume the wave speed is c. 2 1.5 1 0.5 0 -0.5 -1 -1.5 -2 3 5 y(x,t) 0 1 2 x (m)

If 3x +3y +3z =3 ,4x + 3y - z=6 and 9x +15y +9z=12, then X, y and z=

Please show how to get answer

Given: N1 = 10, N2 = 20, N3 = 30, N4 = 40 J1 = 1, J2 = 2, J3 = 3, J4 = 4, J5 = 5, D1 = 1, and D2 = 2 Determine: 01(s)/Tl(s) T₁(1) 0₁ (1) CC N₂ D2, J2 N₁ J₁. Di N3 J3 N4 N₂0 JS J4

Which of these represents the solution for x in 6" = 21?