y＇=e-x2y＇ is a very useful function of engineering mathematics.Using the image description of y＇=e-x2y＇,it shows that the function is closely related to advanced mathematics on the differential equations,the definite integral of transformation top limit,the derivative applications,the multiple integrals and the limit of function.And it focuses on the application of such functions in the distribution function of the normal distribution.