Page 416 - Handbook Of Integral Equations

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

b

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

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

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

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

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

6.5-4. Integrands With Nonlinearity of the Form coth[βy(t)]

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

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

30. y(x)+ A coth(µt) coth[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.27 with f(t, y)= A coth(µt) coth(βy).
b
31. y(x)+ A e λ(x–t) coth[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.28 with f(t, y)= A coth(βy).

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

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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