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C₁ and C₂ are constants. For the DE y" + 12y' + 35y = sinx, (a) the complementary function is Yı(x) = Ce-7* + Cze-5x (b) Y₂(x) = 3 -325 cos x + == is a particular solution (c) -5x Y3(x) = C₁e-7x + C₂e² + 325 is its general solution 17 650 cos x + sin x 17 - sin x 650

C₁ and C₂ are constants. For the DE y" + 12y' + 35y = sinx, (a) the complementary function is Yı(x) = Ce-7* + Cze-5x (b) Y₂(x) = 3 -325 cos x + == is a particular solution (c) -5x Y3(x) = C₁e-7x + C₂e² + 325 is its general solution 17 650 cos x + sin x 17 - sin x 650

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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C₁ and C₂ are constants. For the DE y" + 12y' + 35y = sinx, (a) the complementary function is Ji(x) = Ce-7* + Cze-53 (b) Y₂(x)= == - 3 325 cos x + is a particular solution (c) Y3(x) = C₁e7x + C₂e² -5x + 325 is its general solution 17 650 sin x 17 cos x + sin x 650
Transcribed Image Text:C₁ and C₂ are constants. For the DE y" + 12y' + 35y = sinx, (a) the complementary function is Ji(x) = Ce-7* + Cze-53 (b) Y₂(x)= == - 3 325 cos x + is a particular solution (c) Y3(x) = C₁e7x + C₂e² -5x + 325 is its general solution 17 650 sin x 17 cos x + sin x 650
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