<ol class="i-list"><li><div class="list-item-paragraph">It is given that</div><div class="list-item-paragraph" style="text-align: center">\[\frac{\mathrm{d}y}{\mathrm{d}x} = y\left(2x + \tan^2 x\right) \text{ where}\hspace{0.5em} y \neq 0.\]</div><div class="list-item-paragraph">Find \(y\) in terms of \(x\).<span class="inline-marks">[5]</span></div></li><li><div class="list-item-paragraph">Hence, given that&nbsp;\(y = -2\) when&nbsp;\(x = 0\), find the particular solution to the differential equation in part <strong>(i)</strong>.<span class="inline-marks">[2]</span></div></li></ol>

\[\frac{\mathrm{d}y}{\mathrm{d}x} = y\left(2x + \tan^2 x\right) \text{ where } y \neq 0.\]

Hence, given that \(y = -2\) when \(x = 0\), find the particular solution to the differential equation in part **(i)**.

2024 MI PRU2 P1 Q5

2024 MI PRU2 P1 Q5