And so let's see, x to the fourth divided by x, that is going to be x to the third. And so you will indeed get four x to the third is equal to four x to the third. So check, this is a solution. So is a solution. It's not necessarily the only solution, but it is a solution to that differential

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When n = 0 the equation can be solved as a First Order Linear Differential Equation. When n = 1 the equation can be solved using Separation of Variables. For other values of n we can solve it

We start with differentiating in terms of the left most variable in xxyz. So here we start by taking the derivative with respect to x. First, f x = 4cos (4x+yz) Then, f xx = -16sin (4x+yz) f xxy =