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The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.

100 POINTS
slope field with positive slopes in quadrant 1 and 4, negative slopes in quadrants 2 and 3, horizontal slopes along the y axis

y=Cx2
x=Cy2
x2 – y2 = C2
x2 + y2 = C2

The slope field for a differential equation is shown in the figure. Determine the-example-1
User Wander
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1 Answer

16 votes
16 votes

Answer:


y=Cx^2

Explanation:

Clearly,
(dy)/(dx) is a function of x, so we can eliminate the second option.

The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.

This leaves us with
y=Cx^2 as our general solution.

User Jakub
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2.9k points