Q. 303.8( 5 Votes )
Show that the general solution of the differential equation 
is given by x + y + 1 = A(1 – x – y – 2xy), where A is a parameter.
Answer :
Given, A differential equation 
To Prove: The general solution of the given differential equation is
x + y + 1 = A(1 – x – y – 2xy)
Explanation: We have 
It can be written as
Now, Integrating both sides, we get
We know, 
We know, 
then,
Let 
then,
X + y + 1 = A(1 - x - y - 2xy)
Hence, Proved
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