Consider (exsiny+3y)dx+(excosy+3x)dy=0(e^x \sin y + 3y) dx + (e^x \cos y + 3x) dy = 0(exsiny+3y)dx+(excosy+3x)dy=0. What is the potential function ψ(x,y)\psi(x, y)ψ(x,y)?
exsiny+3xy+Ce^x \sin y + 3xy + Cexsiny+3xy+C
excosy+3xy+Ce^x \cos y + 3xy + Cexcosy+3xy+C
exsiny+x+y+Ce^x \sin y + x + y + Cexsiny+x+y+C
exsiny+3x+Ce^x \sin y + 3x + Cexsiny+3x+C