Direction fields with technology Plot a direction field for the following differential equation with a graphing utility. Then find the solutions that are constant and determine which initial conditions y (0) = A lead to solutions that are increasing in time. y ′( t ) = 0.5( y + 1) 2 ( t – 1) 2 , | t | ≤ 3 and | y | ≤ 3
Direction fields with technology Plot a direction field for the following differential equation with a graphing utility. Then find the solutions that are constant and determine which initial conditions y (0) = A lead to solutions that are increasing in time. y ′( t ) = 0.5( y + 1) 2 ( t – 1) 2 , | t | ≤ 3 and | y | ≤ 3
Solution Summary: The author explains that the initial condition for y(0)=A lead to the solution increasing in time and also find the constant solution with the direction field.
Direction fields with technology Plot a direction field for the following differential equation with a graphing utility. Then find the solutions that are constant and determine which initial conditions y(0) = A lead to solutions that are increasing in time.
y′(t) = 0.5(y + 1)2 (t – 1)2, |t| ≤ 3 and |y| ≤ 3
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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