Page 417 - Handbook Of Integral Equations

b
33. y(x)+ A cosh(λx + µt) coth[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.31 with f(t, y)= A coth(βy).
b
34. y(x)+ A sinh(λx + µt) coth[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.32 with f(t, y)= A coth(βy).

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

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

6.5-5. Other Integrands

b
37. y(x)+ A cosh[βy(x)] cosh[γy(t)] dt = h(x).
a
This is a special case of equation 6.8.43 with g(x, y)= A cosh(βy) and f(t, y) = cosh(γy).
b
38. y(x)+ A y(xt) cosh[βy(t)] dt =0.
a
This is a special case of equation 6.8.45 with f(t, y)= A cosh(βy).
b
39. y(x)+ A sinh[βy(x)] sinh[γy(t)] dt = h(x).
a
This is a special case of equation 6.8.43 with g(x, y)= A sinh(βy) and f(t, y) = sinh(γy).
b
40. y(x)+ A y(xt) sinh[βy(t)] dt =0.
a
This is a special case of equation 6.8.45 with f(t, y)= A sinh(βy).
b
41. y(x)+ A tanh[βy(x)] tanh[γy(t)] dt = h(x).
a
This is a special case of equation 6.8.43 with g(x, y)= A tanh(βy) and f(t, y) = tanh(γy).
b

42. y(x)+ A y(xt) tanh[βy(t)] dt =0.
a
This is a special case of equation 6.8.45 with f(t, y)= A tanh(βy).
b

43. y(x)+ A coth[βy(x)] coth[γy(t)] dt = h(x).
a
This is a special case of equation 6.8.43 with g(x, y)= A coth(βy) and f(t, y) = coth(γy).
b

44. y(x)+ A y(xt) coth[βy(t)] dt =0.
a
This is a special case of equation 6.8.45 with f(t, y)= A coth(βy).

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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