( کے Consider the initial value problem a. Form the complementary solution to the homogeneous equation. [ ÿc (t) = C₁ ÿp(t) = 0 =[J]+[2] [²], 7(0) = [J]. t 1 0 2t b. Construct a particular solution by assuming the form ÿp(t) = ảe²t + bt + c and solving for the undetermined constant vectors a, b, and c. Y₁ (t) [2] Y2 (t) + C₂ c. Form the general solution y(t) = c(t) + ÿp(t) and impose the initial condition to obtain the solution of the initial value problem. =
( کے Consider the initial value problem a. Form the complementary solution to the homogeneous equation. [ ÿc (t) = C₁ ÿp(t) = 0 =[J]+[2] [²], 7(0) = [J]. t 1 0 2t b. Construct a particular solution by assuming the form ÿp(t) = ảe²t + bt + c and solving for the undetermined constant vectors a, b, and c. Y₁ (t) [2] Y2 (t) + C₂ c. Form the general solution y(t) = c(t) + ÿp(t) and impose the initial condition to obtain the solution of the initial value problem. =
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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