1. Topic Past Papers –Further ODE
Advanced Higher
Topic Past Papers –Further ODE
Unit 3 Outcome 4
2001
B5. Find the general solution of the following differential equation
5 marks
2002
B5. Find the general solution of the differential equation
Hence determine the solution which satisfies y(0) = 0 and y’(0) = 1.
6 marks
4 marks
2003
B6.
Solve the differential equation
given that y = 2 and , when x = 0
10 marks
2004
15.
a) A mathematical biologist believes that the differential equation models a process.
Find the general solution of the differential equation.
Given that y = 2 when x = 1, find the particular solution, expressing y in terms of x.
b) The biologist subsequently decides that a better model is given by the equation
Given that y = 2 when x = 1, obtain y in terms of x.
5 marks
2 marks
4 marks
2005
14.
Obtain the general solution of the differential equation
Hence find the particular solution for which
7 marks
3 marks
2006 8.
Solve the differential equation given that when x = 0, y = 0 and
6 marks
2007 8.
Obtain the general solution of the equation
6 marks
2008
13.
Obtain the general solution of the differential equation
Given that when x = 0, find the particular solution.
7 marks
3 marks
Lanark Grammar Mathematics Department
Mrs Leck

2. Topic Past Papers – Further ODE
Advanced Higher
Topic Past Papers – Further ODE
Unit 3 Outcome 4
2009
15.
(a) Solve the differential equation
given that y = 16 when x = 1, expressing the answer in the form y = f(x).
(b) Hence find the area enclosed by the graphs of y = f(x), y = (1 – x)4 and the x-axis.
6 marks
4 marks
2010
11.
Obtain the general solution of the equation
Hence obtain the solution for which y = 3 when x = 0 and
4 marks
3 marks
2011
14.
Find the general solution of the differential equation
7 marks
Find the particular solution for which and when x = 0.
3 marks
2013
14.
Solve the differential equation
11 marks
2014 8.
Find the solution to the differential equation
given that y = 4 and when x = 0.
6 marks
Lanark Grammar Mathematics Department
Mrs Leck

3. Topic Past Papers – Further ODE
Advanced Higher
Topic Past Papers – Further ODE
Unit 3 Outcome 4
2001
2002
B5.
2003
(10)
2004
(5)
(2)
(4)
2005
(7)
(3)
2006
2007
(6)
(6)
2008
(7)
(3)
2009
2010
(6)
(4)
2011
14.
2013
14.
(11)
2014 8.
(6)
Lanark Grammar Mathematics Department
Mrs Leck