Consider the system of ODE with initial values: dy_1/dx = xy_1 - 2y_2 DY_2/DX = 2Y_1 - x^2 y_2 where y_1 (0) = 2, y_2 (0) = 1 Consider step size Delta x = 1, calculate y_1, y_2 at x = 1 Use implicit Euler methods to find the y_1, y_2 at x = 1. Must be IMPLICIT Euler (NOT Explicit)... solve by hand Consider the system of ODE with initial values: dy_1/dx = xy_1 - 2y_2 DY_2/DX = 2Y_1 - x^2 y_2 where y_1 (0) = 2, y_2 (0) = 1 Consider step size Delta x = 1, calculate y_1, y_2 at x = 1 Use implicit Euler methods to find the y_1, y_2 at x = 1. Must be IMPLICIT Euler (NOT Explicit)... solve by hand