MATH 467 Partial Differential Equations Exercises
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چکیده
The most up-to-date version of this collection of homework exercises can always be found at 1. Find the general solution for the following first-order partial differential equation. 3u x + 5u y − xyu = 0 2. Find the general solution for the following first-order partial differential equation. u x − u y + yu = 0 3. Find the general solution for the following first-order partial differential equation. u x + 4u y − xu = x 4. Find the general solution for the following first-order partial differential equation. −2u x + u y − yu = 0 5. Find the general solution for the following first-order partial differential equation. xu x − yu y + u = x 6. Find the general solution for the following first-order partial differential equation. x 2 u x − 2u y − xu = x 2 7. Find the general solution for the following first-order partial differential equation. u x − xu y = 4 8. Find the general solution for the following first-order partial differential equation. x 2 u x + xyu y + xu = x − y 9. Find the general solution for the following first-order partial differential equation.
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