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Official 2023 Paper 1 · Q19

Paper 1Algebra

The solution to the differential equation

dydx=∣−6x∣for all x\frac{\dd y}{\dd x}=|-6x|\quad\text{for all }x

is y=f(x)+cy=f(x)+c, where cc is a constant.

Which one of the following is a correct expression for f(x)f(x)?

A−6x∣x∣\dfrac{-6x}{|x|}
B6x∣x∣\dfrac{6x}{|x|}
C−3x∣x∣-3x|x|
D3x∣x∣3x|x|
E−3x2-3x^2
F3x23x^2
G−x3-x^3
Hx3x^3

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