<exercise masterit-seed="7227" 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'= -2 \, t^{2} y + 4 \, t x - 3 \hspace{2em}
x( 1 )= 2 </me><me>
y'= -2 \, t x^{2} + t y + 3 \hspace{2em}
y( 1 )= 0 </me></statement><answer><ul><li><m>x( 1.1 )\approx 2.50 </m> and
<m>y( 1.1 )\approx -0.500 </m></li><li><m>x( 1.2 )\approx 3.42 </m> and
<m>y( 1.2 )\approx -1.63 </m></li></ul></answer></exercise>
