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Solve the initial value problem O y(t) = y(t) = Oy(t) = O y(t) = c₁cost + c₂sint Oy(t) = 6cost 12sint = y(t) y(t) = O O O √3cost + 6√√3 sint √3cost + √√3sint 12cost + 6sint Oy(t) = y" + y = 0, y( √√3cost+ (√3+6) sint (3 + 6√3) cost+ (3√√3 – 6)sint cost + sint O y(t) = et - e-t = 6, y'(π/3) = − 12

Solve the initial value problem O y(t) = y(t) = Oy(t) = O y(t) = c₁cost + c₂sint Oy(t) = 6cost 12sint = y(t) y(t) = O O O √3cost + 6√√3 sint √3cost + √√3sint 12cost + 6sint Oy(t) = y" + y = 0, y( √√3cost+ (√3+6) sint (3 + 6√3) cost+ (3√√3 – 6)sint cost + sint O y(t) = et - e-t = 6, y'(π/3) = − 12

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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Solve the initial value problem O y(t) = y(t) = Oy(t) = √3cost + 6√√3 sint √3cost + √√3sint 12cost + 6sint y" + y = 0, y( O y(t) = c₁cost + c₂sint Oy(t) = 6cost 12sint y(t) = √√3cost+ (√3+6) sint y(t) = (3+6√3) cost + (3√√3 - 6)sint Oy(t) = cost + sint O y(t) = e¹ - e-t = 6, y'(π/3) = − 12
Transcribed Image Text:Solve the initial value problem O y(t) = y(t) = Oy(t) = √3cost + 6√√3 sint √3cost + √√3sint 12cost + 6sint y" + y = 0, y( O y(t) = c₁cost + c₂sint Oy(t) = 6cost 12sint y(t) = √√3cost+ (√3+6) sint y(t) = (3+6√3) cost + (3√√3 - 6)sint Oy(t) = cost + sint O y(t) = e¹ - e-t = 6, y'(π/3) = − 12
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