Question: 1} For the initial value problem y' = 4 x + 23; , y{0} = 1 , use Euler's method to nd a four decimal

1} For the initial value problem y' = 4 x + 23; , y{0} = 1 , use Euler's method to nd a four decimal approximation to y (0.5] using step size it : 0.05 . Also nd the exact solution and construct a table showing I\" . yn , the actual value. absolute error, and 96 relative error like those shown on p. as of vour text. 2} Use the improved Euler's method with h = 0.05 to approximate y{0.5] to four decimal places for the initial value problem _v' = 5x 3 all} , y-{O} = 2 . 3} Use Him with h : 0.1 to approximate _v(0.5) to four decimal places for the initial value problem 3;! zit3 4;, 32(0) :2
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