Page 421 - Handbook Of Integral Equations

b
22. y(x)+ A e λ(x–t) tan[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.28 with f(t, y)= A tan(βy).

b

23. y(x)+ g(x) tan[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.29 with f(t, y) = tan(βy).
b

24. y(x)+ A cosh(λx + µt) tan[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.31 with f(t, y)= A tan(βy).

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

b

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

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

6.7-4. Integrands With Nonlinearity of the Form cot[βy(t)]

b

28. y(x)+ A cot[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.27 with f(t, y)= A cot(βy).
b

µ
k
29. y(x)+ A t cot [βy(t)] dt = g(x).
a
k
µ
This is a special case of equation 6.8.27 with f(t, y)= At cot (βy).
b

30. y(x)+ A cot(µt) cot[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.27 with f(t, y)= A cot(µt) cot(βy).
b
31. y(x)+ A e λ(x–t) cot[βy(t)] dt = g(x).
a
This is a special case of equation 6.8.28 with f(t, y)= A cot(βy).

b
32. y(x)+ g(x) cot[βy(t)] dt = h(x).
a
This is a special case of equation 6.8.29 with f(t, y) = cot(βy).

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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