To solve this differential equation, we can start by rearranging the terms:
e^x dy - e^x dx = -dydy/dx = -1
Integrating both sides with respect to x:
∫ dy = ∫ -dxy = -x + C
Therefore, the solution to the differential equation is y = -x + C, where C is the constant of integration.
To solve this differential equation, we can start by rearranging the terms:
e^x dy - e^x dx = -dy
dy/dx = -1
Integrating both sides with respect to x:
∫ dy = ∫ -dx
y = -x + C
Therefore, the solution to the differential equation is y = -x + C, where C is the constant of integration.