Differential Equations Exam Review (2 of 6) - Review 1:...

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Review 1: L1-L71.Determine which of the equations given below (the independent variable is specified)is1) linear;2) separable;3) both linear and separable;4) neither linear nor separable.A.3tdxxt xedt+=B.211dyxyxdx=+C.0ydyxdx=D.xdyxedx=(t – independent)(x – independent)(x – independent)(x – independent)2. Verify whether the function()21xxxφ=+is an explicit solution to the differentialequation2222d yydxx=.3.Determine whether the given relation is an implicit solution to the differentialequation:32lnxyy=232lndyx ydxyy=+4. Determine whether the Uniqueness and Existence Theorem implies that the giveninitial value problem has a unique solution.45.Solve the initial value problem in #4. How many solutions do you have? Give each
solution in explicit form.6. Determine whether the Uniqueness and Existence Theorem for a linear first-orderdifferential equation implies that the given initial value problem has a unique solution. If

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Intermediate Algebra
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Chapter 6 / Exercise 10
Intermediate Algebra
Tussy/Gustafson
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