Write down a differential equation of the form dy/dt= ay+b, a and b are constants whose solutions have the required behavior as t-->[infinity] and sketch the direction field:a) all solutions approach y=4b) all solutions diverge from y=4, if y does not equal 4

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.