Topic Past Papers –Further ODE

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Presentation transcript:

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

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

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