2.21: Finding y from a second derivative

0606/21/O/N/17 — Question 7 · 6 marks

Find yy in terms of xx, given that d2ydx2=6x+2x3\dfrac{\mathrm{d}^{2}y}{\mathrm{d}x^{2}} = 6x + \dfrac{2}{x^{3}} and that when x=1x = 1, y=3y = 3 and dydx=1\dfrac{\mathrm{d}y}{\mathrm{d}x} = 1.
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