Is this Linear?

  • Thread starter blackblanx
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  • #1
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Main Question or Discussion Point

Is the following a linear differential equation? I think it is since the y near the y''.


y'''+3yy''+2y'=3x+1
 

Answers and Replies

  • #2
5,439
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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:
  • #3
16
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oh ok thank you
 

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