Solving Partial Differential Equations
To solve a partial differential equation
- 1.
- Type the partial differential equation using standard
mathematical notation.
- 2.
- With the insertion point in the equation, choose Solve
PDE.
Solve PDE
-
= 0, Exact solution is :
u(x, y) = F1(y + x) + F2(y - x)
To verify that
u(x, y) = F1(y + x) + F2(y - x) is actually a solution, define
F1(x) and F2(x) to be generic functions and define
u(x, y) = F1(y + x) + F2(y - x)
Then Evaluate yields
and
and hence

-

= 0