Consider the differential equation
dy 2
x──-4x y +2ylny = 0
dx
Find an integrating factor ρ(x, y)
so that the multiplication of the differential
equation by ρ(x, y) yields an exact differential equation.
這題我是先把ρ(x, y)乘到ODE 所以ODE變exact
在用判別式讓他相等 可是我還是解不出來= =
另外一題
The Bernoulli equation is in the form of
α
P(x)y'+Q(x)y = R(x)y , in which α is a constant.
Please find the integrating factor u(x, y).
-α
(Hint: try u(x, y) = f(x)y )
這題我也是用跟上面一樣的方法 還是算不出來= =
請各位高手幫幫忙 感恩!!
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