CAPE Pure Mathematics Unit 2 · May/June 2016 · Paper 2 · Question 6(c)(ii)
Hence, given that y(1) = 1, solve 3(x^2 + x) dy/dx = 2y(1 + 2x).
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Practise this questionOther parts of this question
- 6(a)(i)Calculate the number of outcomes in the sample space.[3 marks]
- 6(a)(ii)Find the probability of obtaining exactly one head.[2 marks]
- 6(a)(iii)Calculate the probability of obtaining at least one head on the coins and an even number on the die on a particular attempt.[4 marks]
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- 6(c)(i)Show that the general solution to the differential equation 3(x^2 + x) dy/dx = 2y(1 + 2x) is y = C * ((x^2 + x)^2)^(1/3), where C in R.[7 marks]
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