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Problems...

• To: mathgroup at smc.vnet.net
• Subject: [mg73750] Problems...
• From: anooja m g <anooja01 at yahoo.co.in>
• Date: Tue, 27 Feb 2007 05:50:30 -0500 (EST)

Hi,
   
  It will be really helpful if someone could solve the below problems.
  Thanks in Advance.
   
   
  1) Given that y is always positive and y(0) = 2. By direct integration method, find the
particular solution of the differential equation
  dy/dx=y(1-y)/(y+1)
  Hence show that y2-y(2+1/2e-x)+1=0
   
  2)Using substitution method, find the general solution of the following homogeneous
differentiation equation
  dy/dx=(y/x)/1+(y/x)2
  Hence find the particular solution if y(4)=2.
   
   
  Regards,
  Anooja