# Differential equation

### 90-S3-Q8

Second order equation, integrating factor.

[STEP III 1990 Question 8 (Pure)]

### 89-S3-Q8

System of first order equation, exponential function.

[STEP III 1989 Question 8 (Pure)]

### 89-S2-Q7

Substitution, unique solution, second order equation.

[STEP II 1989 Question 7 (Pure)]

### 88-S3-Q13

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

[STEP III 1988 Question 13 (Mechanics)]

### 88-S3-Q7

Sturm-Liouville, orthogonal functions.

[STEP III 1988 Question 7 (Pure)]

### 88-S2-Q8

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

[STEP II 1988 Question 8 (Pure)]

### 87-S1-Q3

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

[STEP I 1987 Question 3 (Pure)]

### Spec-S3-Q11

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

[STEP III Specimen Question 11 (Mechanics)]

### Spec-S3-Q7

Solution by substitution, general solution, second order equation.

[STEP III Specimen Question 7 (Pure)]

### Spec-S1-Q3

Substitution, initial condition, forced second order equation.

[STEP I Specimen Question 3 (Pure)]

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