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Answer either True or False in the text boxes C₁ and ₂ are constants. For the DE y" +10y' + 21y = sinx, (a) the complementary function is Y₁(x) = C₁e¯7x + С₂e-3x 1 1 (b) y₂(x) = −cos x + sin x 50 25 is a particular solution 1 1 (c) y(x) = C₁e-7x + C₂e-3x - cos cos x + + sin x 50 25 is its general solution

Answer either True or False in the text boxes C₁ and ₂ are constants. For the DE y" +10y' + 21y = sinx, (a) the complementary function is Y₁(x) = C₁e¯7x + С₂e-3x 1 1 (b) y₂(x) = −cos x + sin x 50 25 is a particular solution 1 1 (c) y(x) = C₁e-7x + C₂e-3x - cos cos x + + sin x 50 25 is its general 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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Answer either True or False in the text boxes. C₁ and C₂ are constants. For the DE y" +10y' + 21y = sinx, (a) the complementary function is Y₁(x) = C₁e-7x + С₂e-³x (b) y₂(x) = cos x + − 1-1/10 is a particular solution 25 sin x (c) y(x) = С₁е-7x + С₂e-³x is its general solution - 1 50 cos x + 1 25 sin x
Transcribed Image Text:Answer either True or False in the text boxes. C₁ and C₂ are constants. For the DE y" +10y' + 21y = sinx, (a) the complementary function is Y₁(x) = C₁e-7x + С₂e-³x (b) y₂(x) = cos x + − 1-1/10 is a particular solution 25 sin x (c) y(x) = С₁е-7x + С₂e-³x is its general solution - 1 50 cos x + 1 25 sin x
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