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Which differential equations are Linear and find their Proper Linear Form

  1. Jan 26, 2013 #1
    1. The problem statement, all variables and given/known data
    Which of the following differential equations are linear? Put the linear differential equations in proper linear form

    a) t2dy/dt -et = ty

    b) dy/dt + ytan(t) -ety(2)=0

    Essentially, I'm struggling with basic algebra. I've had no luck moving the dependent variable, y, to one side and the independent variable,t, to the other. Any suggestions would be appreciated.


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 26, 2013 #2

    Mark44

    Staff: Mentor

    How does your book define the term, linear differential equation? To get to that form, you don't want to solve for y - you want to put all the terms involving y and y' on one side, and everything else on the other. For a), you would want the left side of the equation to start with dy/dt. What can you do to get dy/dt by itself?
     
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