Question: FX=d dxg(t) dt = g(x)verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of

FX=d dxg(t) dt = g(x)verify that the indicated function is a solution of the given differential equation. Assume an appropriate interval I of definition of the solution.dy- y =2x cos(x);y=x cos(t)- dtVtWhen y = Vx4x cost)tdy dxThus, in terms of x,dy2xdxdt,fx cos(t)4v tdt " xcos(t)dt - Vx/ax cos(t)d't

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