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find general solution to dy/dx = e^-y(x - 2), what interval is this solution valid over?

find general solution to
dy/dx = e^-y(x - 2), what interval is this solution valid over?
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Please find the following attachment.

we know than en is defined for x>o a- 2 +34-2 4-20) >o and 1-20) (2-J4-c2) >0 .: 3 > 2 +J4-20 where 47,20 oc f 2 > 2 4-2c whe

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find general solution to dy/dx = e^-y(x - 2), what interval is this solution valid over?
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