- #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

y'''+3yy''+2y'=3x+1

- Thread starter blackblanx
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- #1

- 16

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

y'''+3yy''+2y'=3x+1

y'''+3yy''+2y'=3x+1

- #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

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

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oh ok thank you

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