Solve differential equation \frac{dy}{dx}= \frac{x-y-1}{x+y+3}

djeljenike

djeljenike

Answered question

2021-02-18

Solve differential equation dydx=xy1x+y+3

Answer & Explanation

Asma Vang

Asma Vang

Skilled2021-02-19Added 93 answers

On substituting
dydx=yt
On rewriting in the form of an exact differential equation
x+y+1+(x+y+3)yt=0
To verify the following condition
M(x,y)y=N(x,y)x
Thus the above condition is true
3y+xy+y22x22+x+c1=c2
3y+xy+y22x22+x=c1
y=3x+2x2+4x+c1+9
y=x2x2+4x+c1+93

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

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