= 0 Siny 54+3x dx dy 7712 (5xy+3x3 2 0 д 12 Smy dy 5ysing + 3 siny 2 dy 7712 3 sin2y = -5y cosy +5 smy 3 y. 8 7/2 = - 5y cosy + 5 siny + 3 y 3 sin 2y 4 8 0 = -5 I cos I II cos I + 5 sin+ 3хд 2 3 Sin 2 (2) m2(즐) 8 - (-5) -5x ox cos + 55100) + 10 ΧΟ 8 = 5+38 Ans

If we let u 4x-1 for the (2an(4x-1)-3 ros"(4x-1) dx, what will be the resulting integrand? cos(4x-1) 4 [(2 tan u seceu -3 cos u) du u sec u- 3 cos u) du j2 sin u sec2 u-3 cos u sec u) du-

(5D' + 3D²)²y = 0 Select the correct response o y = (c1 + czt) cos 0.77t + (c3 + cst) sin 0.77t o y = C1 + Czt + (c3 + cst) cos 0.77t + (cs + cot) sin 0.77t O y = c1 + czt + Czť² + cst³ + (cz + cot) cos 0.77t + (c7 + cst) sin 0.77t O None

Find ds/dt if 3t + 3s sin(3t) + 3cos(t) %3D

Find :y``+ 2y` + y = cos²xturn to1-cos2x/2

Find. y sinx + ale y sinx2 sinx4 sinx6 + + 2! 3! 4! + ****** sinx2(n-1) n!

Which of the following are correct general solutions to the exact equation below? (8xy−sinx)dx+4x^2 dy=0 choose :  F(x,y)=4x^2y+cosx 4x^2y+cosx=0 4x^2y+cosx=C  4x^2+cosx+C=0

Find y'. sin t y = 8 + t y' = ALLZZ5US1. Find y'. 2 sin 0 + 9 cos 0 y = sin 0 – cos 0 y':

Find the general solution of the differantial equation given by wwww wwwww www ww w ww |y" – 4y' + 5y = 3xe* – cos2x + (x + 1)sin2x. (Do not evaluate the coefficients)

For the function dy dx dy dx dy dx dx 1 -sinx sec4 4 tan- tan 1- - cos.x 1+ cos.x csc2 cos2) 2 cos² $²2=1/12 sinx (cosy + 1)² (cosx + 1) ² siny + (cosy + 1) ² cscy sec y sec- + 2 X 2 1-cosy 1+ cosy + dy =C, where C is a real constant, which of the following is equal to dx The answer cannot be found among the other choices.