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Basic differential equations

  1. Jun 30, 2010 #1
    1. The problem statement, all variables and given/known data

    Determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the first differential equations given in #7.

    2. Relevant equations

    #7 [tex] (sin \theta)y^{'''} - (cos \theta)y^{'} = 2 [/tex]

    #10 [tex] (u)dv + (v+uv-ue^u)du = 0;[/tex] in v; in u

    3. The attempt at a solution

    How can I do this problem when there is not a variable y in number 10?
  2. jcsd
  3. Jul 1, 2010 #2


    Staff: Mentor

    Underline added below.
    There does not need to be a variable y. In #10 the question is in two parts: Is the differential equation linear in the indicated dependent variable - in v, and then in u. For the first part, assume that v is the dependent variable; for the second part, assume that u is the independent variable.
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