From number 5 on section 1.1 how to draw a direction field for the given differential equations determine the behavior of y as t to infinity if this behavior depends on the initial value of y at t = 0 describe the dependency.
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In each of Problems 1 through 6 draw a direction field for the given differential equation.
Based on the direction field, determine the behavior of y as t → ∞. If this behavior depends
on the initial value of y at t = 0, describe the dependency.
1. y' = 3 – 2y
2 3. y = 3+ 2y
5. y' = 1+ 2y
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2. y' = 2y – 3
2 4. y' = -1– 2y
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6. y' = y +2
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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