1. The function with the given graph is a solution to one of the following differential equations Decide which is the correct equation. Explain why the other two options do not apply and why your choice is correct. Be specific and use complete sentences. (3 points) A, y'= B. y'=-2xy C. y'=x+2y X y 2. Use Euler's method with step size & = (.2 to estimate the value of y (1), where y is the solution of the initial value problem y'=3x y, y(0) = 1. Use the table format below (or use your own organization method), show the inputs of the calculations, and use exact values. (3 points) n X n Y?'l Yn+1=Yn+h|:fJ(anYn)] y(1) ~__ (5 decimal places) 3. Find the general solution to the given differential equation. Then find the particular solution that satisfies the initial condition. Show all relevant steps. (Hint: Use partial fraction decomposition.) (8 points) S _ _ _ 2 _ o =3-2yy*, y(0)=2