Let the solution curve y = y ( x ) of the differential equation ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + − x y 2 2 e y x x x dx dy = x + ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + − x y 2 2 e y x x y pass through the points (1, 0) and (2 α , α ), α 0.Then α is equal to

Question

Let the solution curve y = y ( x ) of the differential equation ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + − x y 2 2 e y x x x dx dy = x + ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + − x y 2 2 e y x x y pass through the points (1, 0) and (2 α , α ), α > 0.Then α is equal to

Accepted Answer

⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − + π 1 e 6 exp 2 1

Let the solution curve y = y ( x ) of the differential equation ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + − x y 2 2 e y x x x dx dy = x + ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎣ ⎡ + − x y 2 2 e y x x y pass through the points (1, 0) and (2 α , α ), α > 0.Then α is equal to

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