Solve differential equation \frac{dy}{dx}= (x+y+1)^2-(x+y-1)^2

ddaeeric 2021-03-07 Answered
Solve differential equation dydx=(x+y+1)2(x+y1)2
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Expert Answer

au4gsf
Answered 2021-03-08 Author has 95 answers
On substituting
dydx=yt
yt=(x+y+1)2(x+y1)2
yt4y=4x
On finding the integration factor
μ(x)=e4x
Thus on writing the equation in the form
(μ(x)y)=μ(x)q(x)
(e4y)=4xe4
y=x14+c1e4x
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Jeffrey Jordon
Answered 2021-12-14 Author has 2064 answers

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