Page 98 - Handbook Of Integral Equations

x

β γ
85. A sinh (λt)+ B ln (µx)+ C y(t) dt = f(x).
a
γ
β
This is a special case of equation 1.9.6 with g(x)= B ln (µx) and h(t)= A sinh (λt)+ C.
x
β γ
86. A tanh (λx)+ B ln (µt)+ C y(t) dt = f(x).
a
β
γ
This is a special case of equation 1.9.6 with g(x)= A tanh (λx) and h(t)= B ln (µt)+ C.
x

β γ
87. A tanh (λt)+ B ln (µx)+ C y(t) dt = f(x).
a
β
γ
This is a special case of equation 1.9.6 with g(x)= B ln (µx) and h(t)= A tanh (λt)+ C.
x

β γ
88. A coth (λx)+ B ln (µt)+ C y(t) dt = f(x).
a
γ
β
This is a special case of equation 1.9.6 with g(x)= A coth (λx) and h(t)= B ln (µt)+ C.
x
β γ
89. A coth (λt)+ B ln (µx)+ C y(t) dt = f(x).
a
β
γ
This is a special case of equation 1.9.6 with g(x)= B ln (µx) and h(t)= A coth (λt)+ C.
1.7-5. Kernels Containing Hyperbolic and Trigonometric Functions
x
β γ
90. A cosh (λx)+ B cos (µt)+ C y(t) dt = f(x).
a
β γ
This is a special case of equation 1.9.6 with g(x)= A cosh (λx) and h(t)= B cos (µt)+ C.
x

β γ
91. A cosh (λt)+ B sin (µx)+ C y(t) dt = f(x).
a
γ
β
This is a special case of equation 1.9.6 with g(x)= B sin (µx)+ C and h(t)= A cosh (λt).
x
β γ
92. A cosh (λx)+ B tan (µt)+ C y(t) dt = f(x).
a
β
γ
This is a special case of equation 1.9.6 with g(x)= A cosh (λx) and h(t)= B tan (µt)+ C.
x
β γ
93. A sinh (λx)+ B cos (µt)+ C y(t) dt = f(x).
a
γ
β
This is a special case of equation 1.9.6 with g(x)= A sinh (λx) and h(t)= B cos (µt)+ C.
x

β γ
94. A sinh (λt)+ B sin (µx)+ C y(t) dt = f(x).
a
β
γ
This is a special case of equation 1.9.6 with g(x)= B sin (µx) and h(t)= A sinh (λt)+ C.
x
β γ
95. A sinh (λx)+ B tan (µt)+ C y(t) dt = f(x).
a
β γ
This is a special case of equation 1.9.6 with g(x)= A sinh (λx) and h(t)= B tan (µt)+ C.
© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
Page 76