Please provide all the correct steps necessary to find the CORRECT answer to the question:

Question 1 (20 points) Find the particular solution for y(x) given y(X. = 0) = 5. dy dx = -2xy b I H Recall: dx = In x = In(b) - In(a). [Hint: Use Separable ODE approach. ] a xDate Given differential equation is dy = - 204 dac and also given that when so- o then y = s ley( x . =0 ) = s Separating variables in (1 di = - 2x doc y info grating both side f du = [- 20c doc y s Iny = - 2 x dx J en y = - 2 ( 20 2 ) + C ; c is constant 2 ) Iny = - ac2 + C put ac = 0 in Do yo ) z - D + C 2 In s = e Sas y (0) = S put value of c in ( 1) Ony = - ats 2 0 5-x2 Hence, particular solution is Page No