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# Existence and Uniqueness in a Concrete Example 2

DIFFEQ-8GLPBN

Consider the first order differential equation:

$$$$\frac{dy}{dt} = \frac{t}{y}, y(0) = 1$$$$

Which of the following statements is true?

A

There is a some interval $|t|exists a unique solution. B There is no guarantee of a unique solution passing through$(t=0,y=1)$C There do not exist any solutions passing through$(t=0,y=1)$D There are infinitely many solutions passing through$(t=0,y=1)\$