Page 420 - Handbook Of Integral Equations

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

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

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

b

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

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

b

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

b

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

6.7-3. Integrands With Nonlinearity of the Form tan[βy(t)]

b

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

b

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

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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