Consider the Cauchy problem (CP) xpartial u/partial x+partial u/partial y=1,qquad u(0,y)=e^y, yinmathbb R. Then which of the following statements are true?

Q94Section C (Part C)94 of 120

Cauchy problem whose data curve is characteristic

Consider the Cauchy problem (CP)

$x\frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=1,\qquad u(0,y)=e^y, y\in\mathbb R.$

Then which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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