Page 292 - DMTH504_DIFFERENTIAL_AND_INTEGRAL_EQUATION

Unit 18: Charpit s Method for Solving Partial Differential Equations

Notes
2 3/2
3
3. z = x + ax + (y a ) b
3
2
4. z = ax + by + a + b 2
1 2 2
2
2
5. 2z = ax x + ay y + (x y ) 2(x y ) a
2
2
2 2
6. z = 2ax + a y + b
2 2
4
4
7. z = ax + by + a + b + a b
8. 2 ( a z b a ) = ax + y + c
18.7 Further Readings

Books Piaggio H.T.H., Differential Equations

Sneddon L.N., Elements of Partial Differential Equations

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