MAT136H1 Lecture : 9.1 Modelling with Differential Equations Question #1 (Easy)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Given the equation for y in terms another variable, take derivative and equate into the provided differential equation and simplify. Then see if it matches with the right side of the differential equation. If so, then the function for y is a solution to the differential equation. Show that is a solution to the differential equation ( ) . So first take the derivative of with respect to variable x. Equate that as well as plain function for y into the differential equation: ( ) , which is equal to the right side of the differential equation.