<p>It is given that $x\frac{\mathrm{d}y}{\mathrm{d}x}=2y-8$.</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Using the substitution $y=u{{x}^{2}}$ or otherwise, solve the differential equation giving your answer in the form $y=\mathrm{f}\left( x \right)$.</span></div><p style="text-align: right;">[4]</p></li><li><div class="list-item-content"><span class="list-item-text">Given that $y>3$ when $x=1$, show that $y>4-{{x}^{2}}$ for $x\ne 0$.</span></div><p style="text-align: right;">[2]</p></li></ol>

It is given that $x\frac{\mathrm{d}y}{\mathrm{d}x}=2y-8$.

Using the substitution $y=u{{x}^{2}}$ or otherwise, solve the differential equation giving your answer in the form $y=\mathrm{f}\left( x \right)$.

Given that $y>3$ when $x=1$, show that $y>4-{{x}^{2}}$ for $x\ne 0$.

Differential Equations - General

Differential Equations

H2 Math

International Baccalaureate Higher Level Mathematics

2021 DHS Promo Q3

2021 DHS Promo Q3

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