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STEP Support Programme

Differential equation

90-S3-Q8

Second order equation, integrating factor.

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[STEP III 1990 Question 8 (Pure)]

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89-S3-Q8

System of first order equation, exponential function.

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[STEP III 1989 Question 8 (Pure)]

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89-S2-Q7

Substitution, unique solution, second order equation.

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[STEP II 1989 Question 7 (Pure)]

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88-S3-Q13

Air resistance, first order equation, gravity, goalkeeper, tan.

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[STEP III 1988 Question 13 (Mechanics)]

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88-S3-Q7

Sturm-Liouville, orthogonal functions.

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[STEP III 1988 Question 7 (Pure)]

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88-S2-Q8

System of first order equation, aardvark, buffalo, population dynamic, matrix method, linear combination, equilibrium, stationary point.

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[STEP II 1988 Question 8 (Pure)]

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87-S1-Q3

Solution by substitution, initial condition, limit, first order equation.

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[STEP I 1987 Question 3 (Pure)]

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Spec-S3-Q11

Identical snowploughs, constant rate acceleration, first order equation, general solution, time-distance (x-t).

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[STEP III Specimen Question 11 (Mechanics)]

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Spec-S3-Q7

Solution by substitution, general solution, second order equation.

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[STEP III Specimen Question 7 (Pure)]

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Spec-S1-Q3

Substitution, initial condition, forced second order equation.

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[STEP I Specimen Question 3 (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)