欧拉方法

已知$\displaystyle\frac{dy}{dx}=2x-2y+3$start fraction, d, y, divided by, d, x, end fraction, equals, 2, x, minus, 2, y, plus, 3 且 $y(3)=k$y, left parenthesis, 3, right parenthesis, equals, k.

使用欧拉方法, 从$x=3$x, equals, 3起始, 步长为$1$1, 约算$y(4)\approx -6$y, left parenthesis, 4, right parenthesis, approximately equals, minus, 6.

$k=$k, equals