Use F'(x) = dx g(t) dt = g(x) to verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of the solution. "x cos(t) dt dy 2x - y = 2x cos(x); y = Vx dx When y = x J4 *x cos(t) dt, dy (x cos(t) dt + %3D dx Thus, in terms of x, гx cos(t) dt + rx cos(t) dt Vt dy 2х - y = Vx

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