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Find the particular solution of the differential equation `(1+e^(2x))dy+(1+y^2)e^x dx=0,` given that `y=1` when `x=0.`

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To find the particular solution of the differential equation \[ (1 + e^{2x}) dy + (1 + y^2)e^x dx = 0, \] given that \( y = 1 \) when \( x = 0 \), we will follow these steps: ...
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