Assignment Sheet 2
MA2020 Dierential Equations (July - November 2012)
1. Find the general (or unique) solution of the following system of equations
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
dy1
dx
dy1
dx
dy1
dx
Assignment Sheet 3 on Legendre Polynimials
MA2020 Dierential Equations (July - November 2012)
1. Using the governing dierential equation of the Legendre polynomials show that
(a) Pn (1) =
n(n+1)
2
+1)
Assignment Sheet 1
MA2020 Dierential Equations (July - November 2012)
1. Solve the following rst order dierential equations
dy
(a) x dx + y = x3 y 6
dy
(b) xy 2 dx + y 3 = x cos(x)
dy
(c) x dx + y = y