General solution of Partial Differential equations(PDE) in English.

uxx = −u, which, as an ODE, has the general solution u = c1 cosx + c2 sinx. Since the constants may depend on the other variable y, the general solution of the PDE will be u(x, y) = f(y) cosx + g(y) sinx, where f and g are arbitrary functions.

This topic is most important topic for Maths and engineering Post Graduate students I have taken this topic from the Book of Nikhil and Asmar PDE book.

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