xy ~y =xe t y (1) = 0
Added by Nicholas W.
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Step 1
First, we rewrite the given equation as a first-order linear differential equation: $$\frac{dy}{dt} - \frac{1}{x}y = e^t$$ Now, we find the integrating factor, which is given by: $$\mu(t) = e^{\int -\frac{1}{x} dt} = e^{-\frac{1}{x}t}$$ Show more…
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