SOLVE ON PYTHON:

Given y = el: a) Find the values of the constant r for which y" + 7y' +12y = 0. (NOTE: this equation is called a differential equation and we say that y = e"I is a solution to the differential equation for these values of r) b) Find the values of the constant r for which y" +by' +12y = 0. c) If y = 2-3 (cos(73x)+sin(73x)), compute and simplify y" +6y'+12y. In a print statement, state any observations when you compare the constants in this function to the answer to part (b)