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Differential Equationshard
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Consider the differential equation y′+y=3e2xy4y' + y = 3e^{2x}y^4y′+y=3e2xy4. If we use the Bernoulli substitution u=y−3u = y^{-3}u=y−3, what is the resulting linear differential equation for u(x)u(x)u(x)?