Use Eulers method with step size 05 to compute the approxima

Use Euler\'s method with step size 0.5 to compute the approximate y-values y_1 approximately equal y(0.5), y_2 approximately equal y(1), y_3 approximately equal y(1.5), and y_4 approximately equal y(2) of the solution of the initial-value problem y\' = 1 - 5x - 4y, y(0) = -4. Y_1 =, y_2 =, y_3 =, y_4 = .

Solution

Given: y\'=1-5x-4y

Euler\'s formula: y_{n+1}=y_n+h*f(x_n,y_n)

Therefore

y_1=4.5

y_2=-5.25

y_3=3.25

y_4=-6.5