solve the following initial value problem including a Riccati equation :where y1 = x is a known solution of the Riccati equation. then, write the solution in terms of the error function. Bonu Hame work e :Solve the lowingInitial Value ProblenbeludigRiccat'qua bion :dydx-y'+xy +1ylo) =whereisknown solutin of theミ×trom, Then, write the solu tromquetion,in ferms of the error fune tie.Ricca b'

Given, dydx=-y2+xy+1....1y0=1 We can write the given equation as, y'=axy+bxy2+cx....2ax=xbx=-1cx=1…

Answered: tion : equa - - -y+xy +1 2 dx ylo) = 1

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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solve the following initial value problem including a Riccati equation : where y1 = x is a known solution of the Riccati equation. then, write the solution in terms of the error function.

Bonu Hame work e :
Solve the lowing
Initial Value Problen
beludig
Riccat'
qua bion :
dy
dx
-y'+xy +1
ylo) =
where
is
known solutin of the
ミ×
trom, Then, write the solu trom
quetion,
in ferms of the error fune tie.
Ricca b'

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