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
Get answer to your question and much more
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