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Compute without a calculator No calculator! Suppose .

  1. Write the particular solution of this differential equation containing the point .

    Cross multiply in order to separate the variables.

    Integrate both sides.

    Solve for by evaluating the given point.

  2. If you have not already done so, solve your equation for . Confirm that your solution is correct by substituting into the differential equation.

  3. State the domain and range of your equation.

    The domain is the set of values can be so that is still defined.
    The range is the set of values resulting from inputting all members of the domain in the function.

    The domain of the parent graph, , is .