- √ ² (² (x - t)u(t)dt 0 12. u(x) = 1 - - 54

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 1YT: Use Eulers method to approximate the solution of dydtx2y2=1, with y(0)=2, for [0,1]. Use h=0.2.
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Use the series solution method to solve the Volterra integral equations:
12. u(x) = 1- x-
- f (x - 1)u(t) dat
15. u(x)
=seca + tan x-
1
=x+
+ √²
sec tu(t)dt 16. u(x) =
tan tu(t)dt
Transcribed Image Text:Use the series solution method to solve the Volterra integral equations: 12. u(x) = 1- x- - f (x - 1)u(t) dat 15. u(x) =seca + tan x- 1 =x+ + √² sec tu(t)dt 16. u(x) = tan tu(t)dt
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