<exercise masterit-seed="1188" 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( 1.2 )</m> and <m>y( 1.2 )</m> given the following
system of IVPs.
</p><me>
x'= 3 \, t^{2} x^{2} + 3 \, x y \hspace{2em}
x( 1 )= -1 </me><me>
y'= -t^{2} y^{2} + 3 \, x^{2} y - 1 \hspace{2em}
y( 1 )= 0 </me></statement><answer><ul><li><m>x( 1.1 )\approx -0.700 </m> and
<m>y( 1.1 )\approx -0.100 </m></li><li><m>x( 1.2 )\approx -0.502 </m> and
<m>y( 1.2 )\approx -0.216 </m></li></ul></answer></exercise>
