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B. Prove the following identity: [y] where a is constant. Using this identity solve the following system of differential equations: dy₁ dt dy dt 1 = -k₁y₁ dy 2 +ay=eat t = 0 y₁ = 1 -= k₁y₁-k₂y₂ t=0 y₂ = 0 dt What form does the solution take for the second differential equation if k, = k₂

B. Prove the following identity: [y] where a is constant. Using this identity solve the following system of differential equations: dy₁ dt dy dt 1 = -k₁y₁ dy 2 +ay=eat t = 0 y₁ = 1 -= k₁y₁-k₂y₂ t=0 y₂ = 0 dt What form does the solution take for the second differential equation if k, = k₂

Advanced Engineering Mathematics
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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B. Prove the following identity: dy dt +ay=e d dt year where a is constant. Using this identity solve the following system of differential equations: dy = -k₁y₁ dt dy2= dt What form does the solution take for the second differential equation if k, = k₂ t=0 y₁ = 1 = k₁y₁ - k₂y₂ t=0 y₂ = 0
Transcribed Image Text:B. Prove the following identity: dy dt +ay=e d dt year where a is constant. Using this identity solve the following system of differential equations: dy = -k₁y₁ dt dy2= dt What form does the solution take for the second differential equation if k, = k₂ t=0 y₁ = 1 = k₁y₁ - k₂y₂ t=0 y₂ = 0
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