Consider a velocity vector, \( \vec{V} \) in (x, y, z) coordinates given below. Pick one or more
CORRECT statement(s) from the choices given below:
\[ \vec{V} = u\hat{i} + v\hat{j} \]
The “order” of the following ordinary differential equation is ___________.
\[ \frac{d^3 y}{dx^3} + \left( \frac{d^2 y}{dx^2} \right)^6 + \left( \frac{dy}{dx} \right)^4 + y = 0 \]
Pick the CORRECT solution for the following differential equation:
\[ \frac{dy}{dx} = e^{x - y} \]