Q.1) Discuss the existence of a unique solution for the for the following initial value problem: y₁ = (Sint)y₁ + ty₂ + √ty3 y2 = e²ty₁ + In(t - 1) y3 y (2) = n y = √3-ty₁ + t²-16 Y₂ + √ty3

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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Q.1) Discuss the existence of a unique solution for the for the following initial value problem:
y₁ = (Sint)y₁ + ty₂ + √ty3
y₂ = e²ty₁ + In(t-1) y3
y3 = √3-ty₁+;
1²-1632 + √ty3
>
ÿ(2) = n
Transcribed Image Text:Q.1) Discuss the existence of a unique solution for the for the following initial value problem: y₁ = (Sint)y₁ + ty₂ + √ty3 y₂ = e²ty₁ + In(t-1) y3 y3 = √3-ty₁+; 1²-1632 + √ty3 > ÿ(2) = n
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