a) Let   y′′ +xy+y=0 be given.Why does the approachy(x):=e^(λx) does not work? b) Find the potential P(x, y) attached to the exact...

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Basic Math

a)
Let
  y′′+xy+y=0
begiven.Why does the approachy(x):=e^(λx) does not work?

b)Find the potential P(x, y) attached to the exact ODE
2xsin(y) + x^2 cos(y) y′ = 0

c)Is
(x^2 +y)dx − xdy = 0
exact?

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