If yo is the particular solution of the differ- ential equation O 1. dy + 3y + 24 = 0 2 51 dx yo(1) = + e 3 such that y(0) = 7, find the value of go(1). O 2. 51 yo(1) JIN e 3 -J 0 3. 4 47 yo(1) = e -3 IN O 4. 51 yo( 1) = e + 3 JIN 0 5. 47 yo(1) = -3 JIN +Determine whether the differential equa- tion y/ + yet = ry" 6," is linear. O 1. The equation is not linear. 2. The equation is neither linear nor nonlinear. O 3. The equation is linear.Consider the graph 0 1. y' = y3 -23 4 0 2 y = y-1 0 3. y =y-12 0 4. y = y-I Using the above graph of y(x), choose the equation whose solution satisfies the initial condition y (0) = 3.5. 0 5. y' = y2 - 12Use Euler's method with step size 0.1 to compute the approximate y-values 31, 12, and O 1. ya of the solution of the initial-value problem y1 = 2.100, y2 = 2.010, y3 = 2.790 y' = 1 + 6x - 3y, y(1) = 2. O 2. y1 = 2.100, y2 = 1.840, y3 = 2.583 O 3. y1 = 2.200, y2 = 2.410, y3 = 1.998 0 4. y1 = 2.100, y2 = 2.262, y3 = 2.823 0 5. y1 = 2.100, y2 = 2.230, y3 = 2.381Find the interval of convergence of the O 1. (-1, 1) power series E Vn O 2. (-5, 5) 0 3. [-1, 1) 4. [-5, , 5] 0 5. [-1, 1] 6. [-5, 5) 0 7. (-1, 1] . 8. (-5, 5]If yo satisfies the equations O 1. yo (12) = 171/2 4 (2 +9) dy dx = xy, y(0) =4, determine the value of yo(12). 2. yo (12) = 5 . 171/2 3. yo (12) = 261/2 4 4. yo (12) = 85 5. yo (12) = 68