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The slope field below is for the differential equation
y′ = 2x
y′ = 2x − 4
y′ = 4 − 2x
y′ = y
y′ = x + y
A solution curve has been superimposed on the slope field shown below.
The solution is for the differential equation and initial condition
y′ = tan x; y(0) = 0
y′ = cot x, y(π/4) = 1
y′ = 1 + x^2 ; y(0) = 0
y′ = 1 + y^2 ; y(0) = 0