Put the differential equation 6ty+e^(t)y′=(y)/(t^2+36) into the form y′+p(t)y=g(t) and find p(t) and g(t).
p(t)=
g(t)=
Is the differential equation 6ty+e^(t)y′=(y)/(t^2+36) linear and homogeneous, linear and nonhomogeneous, or nonlinear?

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.