Question

If $y=\left(x\right)$ is the solution of equation $ydx+dy=e^x{y}^{2}dy,\left(0\right)=1$ and area bounded by the curve $y=\left(x\right)$, $y=e^x$ and $x=1$ is A, then

• A. curve $y=\left(x\right)$ is passing through $(2,e)$
• B. curve $y=\left(x\right)$ is passing through $(1,\frac{1}{e})$
• C. $A=e-\frac{2}{\sqrt{e}}+3$
• D. $A=e+\frac{2}{\sqrt{e}}-3$

Answer 1

Answer: (A), (D)

The correct options are
A curve $y=\left(x\right)$ is passing through $(2,e)$
D $A=e+\frac{2}{\sqrt{e}}-3$