Apply the Euler's Method with step size h = 1/4 to the initial value problem on [0,1]. y₁ = −y - y y₁ = y + y2 (a) ½₁₂ = −y + y2 (b) y = yı - y2 yı (0) = 1 yı (0) = 1 32 (0)=0 32(0)=0 y₁ = -32 y₁ = y + 3y2 y = yı (c) (d) ₂ = 2y1 +2y2 yı (0)=1 yı (0)=5 32(0)=0 32(0)=0 Find the global truncation errors of y₁ and y2 at t = 1 by comparing with the correct solutions (a) yi(t) = e' cost, y2(t) = -e sint (b) yi(t) = e' cost, y2(t) = e−¹ sint (c) yi(t) = cost, y2(t) = sint (d) yı(t)=3e + 2e4, 12(t) = -2e-1 + 2e41.