dy - = = Approximate the solution to the IVP = f(x, y) = 2y + 1 dx at x = 1 y(0) = 0 using 2 equal steps of each method we covered in class (Forward Euler, Backward Euler, and Trapezoidal method). Which estimate is the closest to the true solution evaluated at x = 1, namely y(1)? Let y = 2^o CnX" be the power series solution to the initial value problem = n= 2x Su = a y" +"y"+ 2+ y + 3y = 0 y(0) y'(0) = b y"(0) =C Find the constants a,b,c ER so that we have y" (O) = -6, y(4)(0) = -4, and y(5)(0) = -4. = = =