Hi there looking for help ...

Consider the initial value problem for k : 0.3. Use one step of the improved Euler method to find an approximate value of y(0.1). Enter your answer to three decimal places accuracy. y(0.1) z Number Consider the following Matlab code: [t, y] = ode23 (@ (t, y) [6*y (2) ; -8*y (1) + 5*y (2) ^2*y (1) ], [-5, 9], [5; 4]) (a) Enter the system of ODEs solved by the above code. Use y1 for y] and y2 for y2 . y1 = y2 = (b) The above code solves the system from t = Number to Number (c) The initial value of y1 is Number and the initial value of y, is NumberConsider the system of first-order ordinary differential equations : 4311 + :92 311 ya : *m + tyg subject to 111(0) 2 0.7 and 312(0) 2 1.5. Use two steps of Euler's method to find an approximation for y1(0.5). Enter your answer to three decimal places accuracy. yl (0.5) a: Number \f