Page 415 - Handbook Of Integral Equations

b
k
µ
11. y(x)+ A t sinh [βy(t)] dt = g(x).
a
µ
k
This is a special case of equation 6.8.27 with f(t, y)= At sinh (βy).
b

12. y(x)+ A sinh(µt) sinh[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.27 with f(t, y)= A sinh(µt) sinh(βy).
b

13. y(x)+ A e λ(x–t) sinh[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.28 with f(t, y)= A sinh(βy).

b

14. y(x)+ g(x) sinh[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.29 with f(t, y) = sinh(βy).

b

15. y(x)+ A cosh(λx + µt) sinh[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.31 with f(t, y)= A sinh(βy).
b

16. y(x)+ A sinh(λx + µt) sinh[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.32 with f(t, y)= A sinh(βy).

b

17. y(x)+ A cos(λx + µt) sinh[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.33 with f(t, y)= A sinh(βy).

b

18. y(x)+ A sin(λx + µt) sinh[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.34 with f(t, y)= A sinh(βy).

6.5-3. Integrands With Nonlinearity of the Form tanh[βy(t)]

b
19. y(x)+ A tanh[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.27 with f(t, y)= A tanh(βy).

b
k
µ
20. y(x)+ A t tanh [βy(t)] dt = g(x).
a
k
µ
This is a special case of equation 6.8.27 with f(t, y)= At tanh (βy).
b

21. y(x)+ A tanh(µt) tanh[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.27 with f(t, y)= A tanh(µt) tanh(βy).

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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