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For the differential equation y" — y' – 6y = 0, a general solution is of the form y = С₁e-²x + С₂е³, where C₁ and C₂ are arbitrary constants. Applying the initial conditions y(0) = 1 and y' (0) 8, find the specific solution. y = + ‒‒ =

For the differential equation y" — y' – 6y = 0, a general solution is of the form y = С₁e-²x + С₂е³, where C₁ and C₂ are arbitrary constants. Applying the initial conditions y(0) = 1 and y' (0) 8, find the specific solution. y = + ‒‒ =

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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For the differential equation y" — y' – 6y = 0, a general solution is of the form y = С₁e-²x + С₂е³, where C₁ and C₂ are arbitrary constants. Applying the initial conditions y(0) = 1 and y' (0) 8, find the specific solution. y = + ‒‒ =
Transcribed Image Text:For the differential equation y" — y' – 6y = 0, a general solution is of the form y = С₁e-²x + С₂е³, where C₁ and C₂ are arbitrary constants. Applying the initial conditions y(0) = 1 and y' (0) 8, find the specific solution. y = + ‒‒ =
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