$x'' - tx' + x^2 = t$
$x(0) = 1$
$x'(0) = 1$
a) Restate the problem solving a system of first-order ODEs.
$x_1' = x_2$
$x_2' = t-x_1^2+tx_2$
$x_1(0) = 1$
$x_2(0) = 1$
b) Use part a) and Euler's method with h = 0.1 to find x(0.2).
$x(0.1) = 1 + (0.1)(0-1+0) = 0.9$
Is my work up to this point correct? I'm unsure whether this should actually be two equations.