GATE ES 2024 | Question: 23

Question

Consider the equation $\frac{d y}{d x}-x^{2}+e^{x}=0$; with $y=1$ at $x=0$.
The value of $y$ at $x=1$ is ________ $\text{(rounded off to 2 decimal places)}$.

Take the value of $e$ $\text{(base of natural logarithm)}$ as $2.7$.