For the differential equation, find (a) one solution and then (b) all solutions.
y ' = 4x3
This looks like it came from using the power rule on the function
y = x3.
This is a solution. Since the derivative of a constant is zero, adding a constant to the function x3 doesn't change the derivative of that function. So we can write all solutions by
y = x3 + C
where C is any constant.