Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 4; y(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 Yn + 1 = Yn+hf(xn² Yn) (3) First, use increment h = 0.1 x( x y(1) (1 y(1.2) Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1) y(1.1) y(1.2) 4 ]) 4

Consider the following differential equation and initial value. y' = 2x - 3y + 1, y(1) = 8; y(1.2) Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6 First, use increment h = 0.1 x( Yn + 1 = Yn + hf(xn¹ Yn) 1.1 x( y(1) y(1.2) y(1) Then, use increment h = 0.05. (Round your answers to four decimal places.) y(1.1) 5.9 y(1.2) 4.45 8 8 (3)

Determine whether the differential equation (cos(y°) – 2xy+ 2)dx – (5xy*sin(y') + x²)dy is exact. If it is, find the general solution.

Solve the following differential equation Integrating Factor by Inspection: 1. xdy-ydx=3x2(x2+y2)dx 2. (xy-2y2)dx-(x2-3xy)dy=0 3. xdx+ydy=(x2+y2)dx 4. (x4+y4)dx+xy3dy=0 5. ydx+x(x2y-1)dy=0

Bracket Manufacturing uses a Kanban system for a component. Daily demand is 1,100 units. Each container has a combined waiting and processing time of 0.65 days. If the container size is 100 and the alpha value (a) is 12%, how many Kanban card sets should be authorized? Round your answer up to the whole number. Kanban card set(s) What is the maximum authorized inventory? Use the rounded value from the previous question. Round your answer to the nearest whole number. unit(s)