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STEP Support Programme

Differential equations

18-S2-Q8

Differential equation, square root, curve sketching, substitution.

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[STEP II 2018 Question 8 (Pure)]

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15-S3-Q8

Curve sketching, polar coordinate, differential equations.

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[STEP III 2015 Question 8 (Pure)]

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14-S2-Q5

Substitution, first order equation, solution curves, quadratic.

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[STEP II 2014 Question 5 (Pure)]

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13-S3-Q7

Hyperbolic functions.

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[STEP III 2013 Question 7 (Pure)]

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13-S1-Q7

Substitution, logarithmic function.

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[STEP I 2013 Question 7 (Pure)]

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10-S1-Q6

Eigenfunction substitution, exponential function, linearity.

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[STEP I 2010 Question 6 (Pure)]

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07-S3-Q8

Substitution, transform, general solution, linearity.

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[STEP III 2007 Question 8 (Pure)]

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07-S3-Q5

Polar coordinates, logarithmic and hyperbolic functions, proof.

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[STEP III 2007 Question 5 (Pure)]

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05-S3-Q2

General solution, curve sketching, least distance.

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[STEP III 2005 Question 2 (Pure)]

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05-S2-Q8

First order equation, curve sketching, approximation.

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[STEP II 2005 Question 8 (Pure)]

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)