Slope Fields, Differential Equations and Euler's Method

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CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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If dy/dx=2xy and y=1 when x=0, then y=

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Which slope field is generated by the differential equation

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dy/dx = 4x/y.  Suppose y(0)=1
The particular solution is

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CCSS.HSA.REI.A.1

Let $y=g\left(x\right)$  be the solution to the differential equation  $\frac{dy}{dx}=xy-2$   with the initial condition  $g\left(2\right)=-1$ . What is the approximation for g(1)  if Euler’s method is used, starting at x=2  with two steps of equal size?

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