Solve the equation $$ \frac{\partial^2 u}{\partial x^2} = a^2 u $$ given that when $x = 0$, $\frac{\partial u}{\partial x} = a \sin(y)$ and $\frac{\partial u}{\partial y} = 0$. Hint: you can treat the given equation like an ODE, but remember constants can depend on y. (7)
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We can treat it like an ordinary differential equation (ODE) with respect to $x$, treating $y$ as a constant. Show more…
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