Solution of the differential equation: dy/dx=(4x+y+1)^2

Asked by Saubhagya Borate | 17th Apr, 2013, 01:04: PM

Expert Answer:

This differential equation can be solved by substitution
 
Let 4x+y+1=v
Then y=v-4x-1
Hence,  dy/dx=dv/dx-4

Thus, the given DE becomes 
dv/dx=v²+4
 
ie.  dv/(v²+4) =dx

Integrating both sides 

Answered by  | 17th Apr, 2013, 09:02: PM

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