The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be used to solve directly for f. °y + y = 0, but also 1 -/= 0, sor = 6. y+y y = 0, but also 1-0,90/= 6. y=0, but also I -. 3=0,sor = 5. ° y + y = 0, but also 1 - = 0,50r = 5. eTextbook and Media Find the solution for the initial value problem with initial condition y(0) = y(0). 205 205 +90- 216 36 216 205 +yo 216 36 205 25 205 + 216 + (x - 216) e 6¹+ 205 + yo- 216 216 36 -+ 25 205 y= y = y=- y= O 216 205 30 +
The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be used to solve directly for f. °y + y = 0, but also 1 -/= 0, sor = 6. y+y y = 0, but also 1-0,90/= 6. y=0, but also I -. 3=0,sor = 5. ° y + y = 0, but also 1 - = 0,50r = 5. eTextbook and Media Find the solution for the initial value problem with initial condition y(0) = y(0). 205 205 +90- 216 36 216 205 +yo 216 36 205 25 205 + 216 + (x - 216) e 6¹+ 205 + yo- 216 216 36 -+ 25 205 y= y = y=- y= O 216 205 30 +
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
please answer all the questions, they are all connected with the equation above.
![The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be used to solve directly for
°y + y = 0, but also 1 -/= 0,50x = 6.
y+3y= = 0, but also 1-1=0,901 = 6.
y+y = 0, but also
t=0,501 = 5₁
°y+3y=
= 0, but also 1 -1 = 0,501 = 5.
eTextbook and Media
Find the solution for the initial value problem with initial condition y(0) = yo (0).
205
y =
+
+ (xo - 205)
216
216
205
5
y =
²x + you
-
216
36
y=
(206) + 2/¹ + (x - 2016) e *
+ (x - 2016) e
y=
36
216
36
y =
(205)-25¹ + (xo + 205) e
O
O
O
O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7c5b28e-75a2-4d80-b842-8b12554c0d2b%2F9a60d8a7-b81e-4eb7-ab5e-dcf2dd259907%2Fva1zrfe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be used to solve directly for
°y + y = 0, but also 1 -/= 0,50x = 6.
y+3y= = 0, but also 1-1=0,901 = 6.
y+y = 0, but also
t=0,501 = 5₁
°y+3y=
= 0, but also 1 -1 = 0,501 = 5.
eTextbook and Media
Find the solution for the initial value problem with initial condition y(0) = yo (0).
205
y =
+
+ (xo - 205)
216
216
205
5
y =
²x + you
-
216
36
y=
(206) + 2/¹ + (x - 2016) e *
+ (x - 2016) e
y=
36
216
36
y =
(205)-25¹ + (xo + 205) e
O
O
O
O
![Consider the initial value problem
y+y=1-₁ y(0) = yo
What equation expresses the requirement that the solution touches the t-axis?
○ y(t) = 0
Oy"(t) = 0
Oy(t) = 0
eTextbook and Media
What additional equation expresses the requirement that the solution does not cross the t-axis?
○y (1) = 0
○ y(t) = 0
Oy"(t)=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7c5b28e-75a2-4d80-b842-8b12554c0d2b%2F9a60d8a7-b81e-4eb7-ab5e-dcf2dd259907%2Fymuiwc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the initial value problem
y+y=1-₁ y(0) = yo
What equation expresses the requirement that the solution touches the t-axis?
○ y(t) = 0
Oy"(t) = 0
Oy(t) = 0
eTextbook and Media
What additional equation expresses the requirement that the solution does not cross the t-axis?
○y (1) = 0
○ y(t) = 0
Oy"(t)=0
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