Use Python to solve each problem

= er 3. Given y = e": 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 is a solution to the differential equation for these values of r) b) Find the values of the constant r for which y" +6y' +12y = 0. c) If y= e3 (cos(V3.c)+sin(V3.x)), 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)