I think it is the one that has > sorry if im wrong
This is a separable differential equation, so let's start of there. Let's separate the variables to their own side with the respective differentials:
Let's integrate both sides (it's separable, so we can do this):
Now, let's plug in the values we are given to find the constant "C":
Let's rewrite the equation, with C in it, then solve for x because we need to ultimately find x:
Let's plug in y = 3 and solve for x:
Let's simplify and rationalize the denominator:
So, your answer is
D.
You're smart! You don't need us checking your work. They are correct anyway
In order to get x alone you need to divide 14 from both sides so it would be x=2