<exercise masterit-seed="4689" masterit-slug="N2" masterit-name="Euler's method for approximating IVP solutions"><statement><p>
Use Euler's method with <m>h= 0.10 </m> to approximate
<m>x( -1.8 )</m> and <m>y( -1.8 )</m> given the following
system of IVPs.
</p><me>
x'= t^{2} x - 3 \, t^{2} y + 3 \hspace{2em}
x( -2 )= 1 </me><me>
y'= -x y^{2} + 2 \, t x - 2 \hspace{2em}
y( -2 )= -1 </me></statement><answer><ul><li><m>x( -1.9 )\approx 2.90 </m> and
<m>y( -1.9 )\approx -1.70 </m></li><li><m>x( -1.8 )\approx 6.09 </m> and
<m>y( -1.8 )\approx -3.84 </m></li></ul></answer></exercise>
