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Is this Linear?

  1. Mar 2, 2010 #1
    Is the following a linear differential equation? I think it is since the y near the y''.


    y'''+3yy''+2y'=3x+1
     
  2. jcsd
  3. Mar 2, 2010 #2
    No y is a solution of the equation.

    The general ordinary linear diff =ion is

    [tex]{a_0}(x)\frac{{{d^n}y}}{{d{x^n}}} + {a_1}(x)\frac{{{d^{n - 1}}y}}{{d{x^{n - 1}}}} + {a_2}(x)\frac{{{d^{n - 2}}y}}{{d{x^{n - 2}}}}......... + {a_n}(x)y = f(x)[/tex]

    You can have a y on the LHS only as shown
     
    Last edited: Mar 2, 2010
  4. Mar 2, 2010 #3
    oh ok thank you
     
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