8. Find the value of m, such that D₁, D₂, D3 meet each other at one point. Ans. m = 13/5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Pls check if this is correct. And pls explain the solution. Thanks
D₁ : x - y = 1
D, 2 x 15 75
D³i (2 m-s)x - my = 3
for D₁ D₂
J
* -ý = 1
2x + y = 5
3x = 6
using eq. I
x - y = 1
2-y=1
X=2
to solve for y
y=1+2
y=3
Substitute to eq. 3:
(2m-s)
x - my = 3
(2m-5) 2-m (3) = 3
4m-10-3m = 3
4m-3m = 3 +10
m = 13
m=
13
5
where x = 2
Transcribed Image Text:D₁ : x - y = 1 D, 2 x 15 75 D³i (2 m-s)x - my = 3 for D₁ D₂ J * -ý = 1 2x + y = 5 3x = 6 using eq. I x - y = 1 2-y=1 X=2 to solve for y y=1+2 y=3 Substitute to eq. 3: (2m-s) x - my = 3 (2m-5) 2-m (3) = 3 4m-10-3m = 3 4m-3m = 3 +10 m = 13 m= 13 5 where x = 2
8.
Find the value of m, such that D₁, D2, D3 meet each other at one point.
Ans. m 13/5
Transcribed Image Text:8. Find the value of m, such that D₁, D2, D3 meet each other at one point. Ans. m 13/5
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