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26 May, 09:52

State the order of the given ordinary differential equation.

(1 - x) y'' - 7xy' + 5y = cos x

Determine whether the equation is linear or nonlinear by matching it with (6) in Section 1.1.

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  1. 26 May, 12:55
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    2nd Order because it contains a 2nd derivative, y''

    Linear because the y term is linear, in other words the y has no exponent, nor is it inside of a log or trig function.

    ex:

    ln (y) or sin (y) or e^y
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