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Differential equations — Question 128

Original QCE Vault practice · 6 marks

Q128 · Practice questionTechnology-freeComplex unfamiliar6 marks

QUESTION 128 (6 marks)

A curve satisfies dydx=2x+1y−1\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{2x+1}{y-1} and passes through (0,3)(0,3).
a)
Find yy explicitly in terms of xx, selecting the branch satisfying the initial condition.
[4 marks]
b)
Find the tangent equation at x=1x=1.
[2 marks]
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