Final answer:
To find the differential dy for y = e^(x/5), differentiate y with respect to x to get dy/dx = (1/5)e^(x/5) and then multiply by dx to obtain dy.
Step-by-step explanation:
The question asks us to find the differential dy for the function y = ex/5. To find dy, we need to take the derivative of y with respect to x and then multiply it by dx. The derivative of y = ex/5 is dy/dx = (1/5)ex/5. Therefore, the differential dy is dy = (1/5)ex/5dx