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HallsofIvy
#2
Jan23-12, 01:55 PM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,293
Have you tried it? If [itex]sin(y) + xy - x^3=2[/itex] then [itex]cos(y)y'+ y+ xy'- 3x^2= 0[/itex]. Differentiating again, [itex]-sin(y)(y')^2+ cos(y)y''+ 2y'+ xy''- 6x= 0[/itex].

You can you those to see if the differential equation is satisfied or not.