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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 general solution of this equation 100 POINTS slope field with positive slopes i class=

Respuesta :

Answer:

[tex]y=Cx^2[/tex]

Step-by-step explanation:

Clearly, [tex]\frac{dy}{dx}[/tex] 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 [tex]y=Cx^2[/tex] as our general solution.

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