Page 380 - Handbook Of Integral Equations

x

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

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

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

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

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

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

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

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

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

x
14. y(x)+ k sin[λ(x – t)] cos[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 cos(βy).

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
Page 360