<exercise masterit-seed="9935" 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( -0.80 )</m> and <m>y( -0.80 )</m> given the following
system of IVPs.
</p><me>
x'= -4 \, t^{2} x + 4 \, x y^{2} - 3 \hspace{2em}
x( -1 )= -2 </me><me>
y'= -t^{2} x^{2} + 3 \, x^{2} y^{2} - 3 \hspace{2em}
y( -1 )= -2 </me></statement><answer><ul><li><m>x( -0.90 )\approx -4.70 </m> and
<m>y( -0.90 )\approx 2.10 </m></li><li><m>x( -0.80 )\approx -11.8 </m> and
<m>y( -0.80 )\approx 29.3 </m></li></ul></answer></exercise>
