Differential Equations Exam Review (2 of 6) - Review 1 L1-L7 1 Determine which of the equations given below(the independent variable is specified is 1

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

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Review 1: L1-L7 1. Determine which of the equations given below (the independent variable is specified) is 1) linear; 2) separable; 3) both linear and separable; 4) neither linear nor separable. 4 2. Verify whether the function ()21xxxφ=+is an explicit solution to the differential equation 2222d yydxx=. 3. Determine whether the given relation is an implicit solution to the differential equation: 32lnxyy=232lndyx ydxyy=+4. Determine whether the Uniqueness and Existence Theorem implies that the given initial value problem has a unique solution. 41dyxydx=( )01y=5. 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-order differential equation implies that the given initial value problem has a unique solution. If