It is given that ${{y}^{2}}=\sin x+\cos x$. Show that \(y\frac{{{\mathrm{d}}^{3}}y}{\mat

Question

It is given that ${{y}^{2}}=\sin x+\cos x$. Show that $y\frac{{{\mathrm{d}}^{3}}y}{\mathrm{d}{{x}^{3}}}+A\frac{\mathrm{d}y}{\mathrm{d}x}\frac{{{\mathrm{d}}^{2}}y}{\mathrm{d}{{x}^{2}}}+y\frac{\mathrm{d}y}{\mathrm{d}x}=0$, where $A$ is a real constant to be determined.[4]

Accepted Answer

$A=3$

2021 ASRJC Promo Q1

2021 ASRJC Promo Q1

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