Discuss the application of the existence and uniqueness theorem to the initial value problem
y' = (x - y)/(x + 3y) ; y(0) = -1
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The equation is written in 'normal fashion'... , (1)
... where... , ,
The partial derivative of respect to y is...
Both and are continous in so that does exist one and only one solution of (1) crossing that point...
My first thought would be "What IS the existence and uniqueness theorem?" What exactly does it say?
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