Page 275 - DMTH504_DIFFERENTIAL_AND_INTEGRAL_EQUATION

Differential and Integral Equation

Notes 12. z = ax + by + a + b 2
2
13. z = ax + by + a 2 b 2 Y
2
14. 4c (z a) = (x + cy + b) + 4
1 2 1/2 2 1/2
15. log z a (1 az ) (1 az ) z ay b
a
2
16. (z c) [z c exp {x + ay/(1 a )}]= 0
)
17. z 2 z (z 2 4a 2 ) 4a 2 log z (z 2 4a 2 1/2 4x 4ay k
18. log (az 1) = x + ay + c
2 2
19. z = ax + a y + b
2
2
20. (z a log x b) = 4a y
17.8 Further Readings

Books Piaggio H.T.H., Differential Equations
Sneddon L.N., Elements of Partial Differential Equations

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