0 0 votes For the differential equation given below, which one of the following options is correct? $$ \frac{\partial^{2} u}{\partial x^{2}}+\frac{\partial^{2} u}{\partial y^{2}}=0 \quad 0 \leq x \leq 1,0 \leq y \leq 1 $$ $u=e^{x+y}$ is a solution for all $x$ and $y$ $u=e^{x} \sin y$ is a solution for all $x$ and $y$ $u=\sin x \sin y$ is a solution for all $x$ and $y$ $u=\cos x \cos y$ is a solution for all $x$ and $y$ Differential Equations gateme-2025 partial-differential-equation calculus engineering-mathematics + – ♦Shubham Sharma 2 488 views answer comment Share Follow Add Sync Questions 0 reply Please log in or register to add a comment.