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  • Pregunta: Figure 1 Figure 2 a) Which differential equation represents the slope field in Figure 1 (i) y' = y sin(x) (ii) y' = x sin(y) (iii) y' = (y + 2) sin(x) (iv) y' = (y - 2) sin(y) (v) y' = (y – 2) sin(x) b) Which differential equation represents the slope field in Figure 2 (1) y' = x + y (ii) y' = x - y (iii) y' = y-x (iv) y' = xy (v) y'a c) In Figure 2, if y(0)

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    Observe the direction and orientation of the lines in the slope field of Figure 1 and compare them to the given differential equations to identify which one matches.

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Texto de la transcripción de la imagen:
Figure 1 Figure 2 a) Which differential equation represents the slope field in Figure 1 (i) y' = y sin(x) (ii) y' = x sin(y) (iii) y' = (y + 2) sin(x) (iv) y' = (y - 2) sin(y) (v) y' = (y – 2) sin(x) b) Which differential equation represents the slope field in Figure 2 (1) y' = x + y (ii) y' = x - y (iii) y' = y-x (iv) y' = xy (v) y'a c) In Figure 2, if y(0) = 2, estimate y(1).