Page 376 - Handbook Of Integral Equations

x

λ
32. y(x)+ k t tanh[βy(t)] dt = Bx λ+1 + C.
a
This is a special case of equation 5.8.6 with f(y)= k tanh(βy).
x

33. y(x)+ g(t) tanh[βy(t)] dt = A.
a
This is a special case of equation 5.8.7 with f(y) = tanh(βy).

x
tanh[βy(t)]
34. y(x)+ dt = A.
ax + bt
0
This is a special case of equation 5.8.8 with f(y) = tanh(βy).
x tanh[βy(t)]
35. y(x)+ √ dt = A.
2
0 ax + bt 2
This is a special case of equation 5.8.9 with f(y) = tanh(βy).

x
36. y(x)+ k e λt tanh[βy(t)] dt = Be λx + C.
a
This is a special case of equation 5.8.11 with f(y)= k tanh(βy).

x
37. y(x)+ k e λ(x–t) tanh[βy(t)] dt = A.
a
This is a special case of equation 5.8.12 with f(y)= k tanh(βy).

x
38. y(x)+ k e λ(x–t) tanh[βy(t)] dt = Ae λx + B.
a
This is a special case of equation 5.8.13 with f(y)= k tanh(βy).

x
39. y(x)+ k sinh[λ(x – t)] tanh[βy(t)] dt = Ae λx + Be –λx + C.
a
This is a special case of equation 5.8.14 with f(y)= k tanh(βy).

x
40. y(x)+ k sinh[λ(x – t)] tanh[βy(t)] dt = A cosh(λx)+ B.
a
This is a special case of equation 5.8.15 with f(y)= k tanh(βy).

x
41. y(x)+ k sinh[λ(x – t)] tanh[βy(t)] dt = A sinh(λx)+ B.
a
This is a special case of equation 5.8.16 with f(y)= k tanh(βy).

x
42. y(x)+ k sin[λ(x – t)] tanh[βy(t)] dt = A sin(λx)+ B cos(λx)+ C.
a
This is a special case of equation 5.8.17 with f(y)= k tanh(βy).

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
Page 356