CALCULUS: The general solution of the differential equation x dx - y dy = 0 is a family of curves. These curves are all A. Hyperbolas
B. Circles
C. Parabolas
D. Ellipses

-I am thinking A, but I would like someone to please double check me. Please no wrong/fake answers. Thanks in advance & have a good one!

Answer is in the photo. I couldn't attach it here, but uploaded it to a file hosting. link below! Good Luck!

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A. Hyperbolas

Step-by-step explanation:

This equation is separable; you have

x dx - y dy = 0

x dx = y dy

Integrate both sides to get

1/2 x ² + C = 1/2 y ²

x ² + C = y ²

or

x ² - y ² = C

and this is indeed the equation of a hyperbola.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

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