I'm trying to solve this question
![1719619274010.png](/data/attachments/43/43508-5d862f1bf3a56dfd000f368a4c765d45.jpg)
and in the solutions they switch the negative sign
![1719619309789.png](/data/attachments/43/43509-a6b467d09e7257db269881f31eababc1.jpg)
I didn't do this and got a slightly different answer ( y = 1 - e^1/2 x as opposed to
![1719619372845.png](/data/attachments/43/43510-20a136dc1fdecc478e7ef4d03b659272.jpg)
) I understand how they got their answer but what tells you that you should switch the signn?