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The problem is:
dx/dt = (x-1)(1-2x); ln {2x-1/x-1} = t
To solve this problem I must, first, verify that the indicated expression is an implicit solution of the given first-order differential equation then find at least one explicit solution. The last element of the solution is to use a graphing utility to obtain the graph of an explicit solution and give an interval of definition.
I have been working on this problem for quite a while and have been unable to come up with the solution given in the book. This solution is:
X = e^t - 1 / e^t-2 defined on (-infinity, ln2) or on (ln2, infinity)
Please supply me with a detailed answer to this problem so that I will be able to use the principles to solve more of the same type problem.
Find maximum revenue.
Find an equation for the line w/given properties Parallel to the line 5x-y=-10; containing the point (0,0). Find the equation of a line that is perpendicular to the line y=1/9x+9 and contains the point (-3,0)
substitution method or elimination method
Multiply the matrices.
Find the maximum or minimum value.
Find the ordered pairs
A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100ft of fence? What should the dimensions of the garden be to give this area?
From 1997 through 2004, the value of US exports to Mexico was as shown below. Data are in billions of dollars. Fit a linear trend equation to the time series. Using this equation, determine the trend estimate for 2012.
What is the fundamental difference between a polynomial function and an exponential function? Be sure to include a description of the graph of each type of function.
Finding the combinations
Your bridge design has two towers, each with height (h) of 300 ft above the road. Two suspension cables connect the two towers. The equation modeling the shape of these cables is parabolic.
Elimination or substitution method to solve the equations.
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