Question 1(Multiple Choice Worth 1 points) (07.05 MC) What is the general solution to the differential equation cosy(2In(x) - x3) y = 2-3x2? dx x O y = arcsin In 2- 3x2 + C O y = -arcsin In 2- 3x2 + c Oy = arcsin(In/2In(x) - x3| + C) Oy = -arcsin(In|2In(x) - x31) + CQuestion 2(Multiple Choice Worth 1 points) (07.05 MC) What are all solutions to the differential equation y ' = 4x2 + x2y?? O y'=_8x+ 2xy2 -+C 2x2y O y' = w | X 4X + + c Oy= tan +c O y = 2tan - +CQuestion 3(Multiple Choice Worth 1 points) [E1 (07.05 MC) Which of the following is the solution to the differential equation y ' = (x + 1)(y + 2) for y > 2, with the initial condition y(0) = 4? Question 4(Multiple Choice Worth 1 points) (07.05 MC) Let y = f(x) be the particular solution to the differential equation = y2 with the initial condition f(3) = 1. Which of the following gives an expression for f(x) dx and the domain for which the solution is valid? Of ( x ) = 1 for x 4 4 -X Of ( x ) = 4x -1 for x > 0 X Of ( x ) = - 4x -1 for x # 0 XQuestion 5(Multiple Choice Worth 1 points) (07.05 MC) Which of the following is the particular solution to the differential equation %= \"(1(2), with the initial condition y[J] = 3? O y=3+jgcos(t2)d