Page 186 - Handbook Of Integral Equations

x

32. y(x) – A e µt cot(λx)y(t) dt = f(x).
a
µt
This is a special case of equation 2.9.2 with g(x)= A cot(λx) and h(t)= e .
x

33. y(x) – A e µx cot(λt)y(t) dt = f(x).
a
This is a special case of equation 2.9.2 with g(x)= Ae µx and h(t) = cot(λt).

2.7-4. Kernels Containing Hyperbolic and Logarithmic Functions

x

m
k
34. y(x) – A cosh (λx)ln (µt)y(t) dt = f(x).
a
k
m
This is a special case of equation 2.9.2 with g(x)= A cosh (λx) and h(t)=ln (µt).
x

m
k
35. y(x) – A cosh (λt)ln (µx)y(t) dt = f(x).
a
m k
This is a special case of equation 2.9.2 with g(x)= A ln (µx) and h(t) = cosh (λt).
x

k
m
36. y(x) – A sinh (λx)ln (µt)y(t) dt = f(x).
a
k
m
This is a special case of equation 2.9.2 with g(x)= A sinh (λx) and h(t)=ln (µt).
x
k m
37. y(x) – A sinh (λt)ln (µx)y(t) dt = f(x).
a
k
m
This is a special case of equation 2.9.2 with g(x)= A ln (µx) and h(t) = sinh (λt).
x
k
m
38. y(x) – A tanh (λx)ln (µt)y(t) dt = f(x).
a
m
k
This is a special case of equation 2.9.2 with g(x)= A tanh (λx) and h(t)=ln (µt).
x

m
k
39. y(x) – A tanh (λt)ln (µx)y(t) dt = f(x).
a
k
m
This is a special case of equation 2.9.2 with g(x)= A ln (µx) and h(t) = tanh (λt).
x

m
k
40. y(x) – A coth (λx)ln (µt)y(t) dt = f(x).
a
k m
This is a special case of equation 2.9.2 with g(x)= A coth (λx) and h(t)=ln (µt).
x

m
k
41. y(x) – A coth (λt)ln (µx)y(t) dt = f(x).
a
m k
This is a special case of equation 2.9.2 with g(x)= A ln (µx) and h(t) = coth (λt).
© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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