University of Leeds
DIFFERENTIAL EQUATIONS
MATH1970
Model solutions to Examples 1
Identify the dierential equation that corresponds to the given directional eld. (a) (b) (c) (d) 1. (e) (f ) (g) (h) (i
University of Leeds
MATH1970
DIFFERENTIAL EQUATIONS
Model solutions to Examples 5
Find a value of for which the column vector
x(t) =
1.
1 7t
e
is a solution of the matrix dierential equation
d
dt
x1
x
MATH1970-01
MATH1970-01
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c UNIVERSITY OF LEE
University of Leeds Ordinary Differential Equations
MATH1970
Examples 2
Hand in your solutions by 5pm on Thursday, 26th February.
1. In 1838 the Belgian biologist Verhulst used the following ODE to st