Page 422 - Handbook Of Integral Equations

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

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

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

6.7-5. Other Integrands

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

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

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

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

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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