Problem 1 Describe the region of the xy-plane whose points (xo, yo) have this property: the IVP y' = ln(1 + xy), y(xo) = = Yo has a unique solution. Be sure to justify your answer completely.

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Describe the region of the xy-plane whose points (x0; y0) have this property:
the IVP
y0 = ln(1 + xy); y(x0) = y0
has a unique solution

**Problem 1:** Describe the region of the xy-plane whose points \( (x_0, y_0) \) have this property: the IVP

\[ y' = \ln(1 + xy), \quad y(x_0) = y_0 \]

has a unique solution. Be sure to justify your answer completely.
Transcribed Image Text:**Problem 1:** Describe the region of the xy-plane whose points \( (x_0, y_0) \) have this property: the IVP \[ y' = \ln(1 + xy), \quad y(x_0) = y_0 \] has a unique solution. Be sure to justify your answer completely.
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