Question 1 [20 pts]: a) [5 pts]: Verify that the differential equation is exact: (cos(z)+2x+y³)dx+(-sin(y)+3zy2)dy = 0.
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Question 1 [20 pts]: a) [5 pts]: Verify that the differential equation is exact: (cos(z)+2x+y³)dx+(-sin(y)+3zy2)dy = 0.
Question 1 [20 pts]: a) [5 pts]: Verify that the differential equation is exact: (cos(z)+2x+y³)dx+(-sin(y)+3zy2)dy = 0. b) [15 pts]: Find the general solution to the above differential equation.