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# A direction field for the differential equation $y^{\prime}=x \cos \pi y$ is shown.(a) Sketch the graphs of the solutions that satisfy the given initial conditions.(i) $y(0)=0$(ii) $y(0)=0.5$(iii) $y(0)=1$(iv) $y(0)=1.6$(b) Find all the equilibrium solutions.

## a)b) $$y^{\prime}=x \cos \pi y$$

#### Topics

Differential Equations

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