Entered 0.392 4.88 Answer Preview Result 0.2. (1+0.96) correct 4.88 incorrect At least one of the answers above is NOT correct. (1 point) Use Euler's method with the given step size to estimate y(1.4) where y(x) is the solution of the initial-value problem 1. Estimate y(1.4) with a step size h Answer: y(1.4) .2*(1+.96) y = x - xy, y(1) = 0. = 0.2. 2. Estimate y(1.4) with a step size h Answer: y(1.4) 4.88 = 0.1. (1 point) Let y(t) be the solution to y = 5te satisfying y(0) = 2. (a) Use Euler's Method with time step h = 0.2 to approximate y(0.2), y(0.4), . . ., y(1.0). ktk 00 2 10.2 2.0 20.4 2.4 30.6 2.78 40.8 2.248 5 1.0 3.70 (b) Use separation of variables to find y(t) exactly. y(t) = (c) Compute the error in the approximations to y(0.2), y(0.6), and y(1). |y(0.2) y = 0.023 |y(0.6) y3 | = - |y(1) y5|=0.011