MathematicsMedium38×since 2002Q3640If the solution curve f(x,y)=0f(x, y)=0f(x,y)=0 of the differential equation (1+logex)dxdy−xlogex=ey,x>0\left(1+\log _{e} x\right) \frac{d x}{d y}-x \log _{e} x=e^{y}, x > 0(1+logex)dydx−xlogex=ey,x>0, passes through the points (1,0)(1,0)(1,0) and (α,2)(\alpha, 2)(α,2), then αα\alpha^{\alpha}αα is equal to :Ae2e2e^{\sqrt{2} e^{2}}e2e2Be2e2e^{2 e^{\sqrt{2}}}e2e2Cee2e^{e^{2}}ee2De2e2e^{2 e^{2}}e2e2Check answerSkip