y' (t) = 1 Sin(t) -t y (u) cu -> (1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
By solving the integral equation (1) with y(0)=0, the function y(t) equals: a,b,c,d
1
1
a) L-1
({-4}
S
s² + 1
1
S
b) L-1
[-²₁ { ₁2²²_₁_^ ( 2² ²1) ² }
- 1
S
c) L-1
{
1
(s² + 1)²
s² +1
S
d) L-¹
²²¹ { 2² ²+1=(2²+ + 1)²}
Transcribed Image Text:1 1 a) L-1 ({-4} S s² + 1 1 S b) L-1 [-²₁ { ₁2²²_₁_^ ( 2² ²1) ² } - 1 S c) L-1 { 1 (s² + 1)² s² +1 S d) L-¹ ²²¹ { 2² ²+1=(2²+ + 1)²}
rt na
y' (t)= 1- Sin(t)- _y (u) du
f
(1)
Transcribed Image Text:rt na y' (t)= 1- Sin(t)- _y (u) du f (1)
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