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The general solution of the differentia...

The general solution of the differential equation `e^x dy + (y e^x + 2x) dx = 0`is(A) `xe^y+x^2=C` (B) `xe^y+y^2=C` (C) `ye^x+x^2=C` (D) `ye^y+x^2=C`

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To solve the differential equation \( e^x dy + (y e^x + 2x) dx = 0 \), we will follow these steps: ### Step 1: Rewrite the Equation We start by rewriting the equation in the standard form: \[ e^x dy + (y e^x + 2x) dx = 0 \] This can be rearranged to: ...
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