Page 383 - Handbook Of Integral Equations

x

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

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

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

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

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

42. y(x)+ k sin[λ(x – t)] tan[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 tan(βy).

5.7-4. Integrands With Nonlinearity of the Form cot[βy(t)]

x

43. y(x)+ k cot[βy(t)] dt = A.
a
This is a special case of equation 5.8.3 with f(y)= k cot(βy).
x
44. y(x)+ k cot[βy(t)] dt = Ax + B.
a
This is a special case of equation 5.8.4 with f(y)= k cot(βy).

x

2
45. y(x)+ k (x – t) cot[βy(t)] dt = Ax + Bx + C.
a
This is a special case of equation 5.8.5 with f(y)= k cot(βy).
x
λ
46. y(x)+ k t cot[βy(t)] dt = Bx λ+1 + C.
a
This is a special case of equation 5.8.6 with f(y)= k cot(βy).
x

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

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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