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Determine whether the given first-order differential equation is linear in the indicated dependent variable by matching it with the differential equation given, a1(x) dy/dx + a0(x)y = g(x). (y8 − 1) dx + x dy = 0; in y; in x

Respuesta :

LammettHash

This equation is linear in x but not in y. You can rewrite it as

(y ⁸ - 1) dx + x dy = 0

==>   (y ⁸ - 1) dx/dy + x = 0

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