Consider the linear system of differential equations Let y₁ (t) [3] 1 Y₁ = y ₁ + 2t y₂ = y₁, = 3 21232, ناتا 12 and y₂(t)= Verify that {y₁(t), y₂(t)} form a fundamental set of solutions and solve the initial value prob- lem. 3₁ (1) = 7 Y2 (1) = 3, NIC t> 0

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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Consider the linear system of differential equations
Let y₁ (t)
[3]
1
Y₁ = y ₁ +
2t
y₂ = y₁,
=
3
21232,
ناتا
12
and y₂(t)=
Verify that {y₁(t), y₂(t)} form a fundamental set of solutions and solve the initial value prob-
lem.
3₁ (1) = 7
Y2 (1) = 3,
NIC
t> 0
Transcribed Image Text:Consider the linear system of differential equations Let y₁ (t) [3] 1 Y₁ = y ₁ + 2t y₂ = y₁, = 3 21232, ناتا 12 and y₂(t)= Verify that {y₁(t), y₂(t)} form a fundamental set of solutions and solve the initial value prob- lem. 3₁ (1) = 7 Y2 (1) = 3, NIC t> 0
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