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Q1) (Baistence and uniqueness theorem, Reduction of order) i) Find an open interval in which the imitial value problem (t – 2)y + Cost cos y=1, y(3) = 2 has a unique solution. i) Let y1(t) = e=t be a solution of the homogeneous differential equation ty + (t– 1) – y = 0, t>0. Use y = ev(t) to find a second solution.

Q1) (Baistence and uniqueness theorem, Reduction of order) i) Find an open interval in which the imitial value problem (t – 2)y + Cost cos y=1, y(3) = 2 has a unique solution. i) Let y1(t) = e=t be a solution of the homogeneous differential equation ty + (t– 1) – y = 0, t>0. Use y = ev(t) to find a second solution.

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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Q1) (Earistence and uniqueness theorem, Reduction of order) i) Find an open imterval in which the initial value problem 1 (6 – 2)y + y = 1, y(3) = 2 Cost has a unique solution. i) Let y1 (t) = et be a solution of the homogeneous differential equation ty" + (2– 1)/ -y = 0, t >0. Use y = ev(t) to find a second solution.
Transcribed Image Text:Q1) (Earistence and uniqueness theorem, Reduction of order) i) Find an open imterval in which the initial value problem 1 (6 – 2)y + y = 1, y(3) = 2 Cost has a unique solution. i) Let y1 (t) = et be a solution of the homogeneous differential equation ty" + (2– 1)/ -y = 0, t >0. Use y = ev(t) to find a second solution.
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