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In Problems 1-8, decide whether or not the method of unde- termined coefficients can be applied to find a particular solu- tion of the given equation. 1. y" + 2y'-y = t¹e¹ 2. 5y"-3y' + 2y = t³ cos 4t 3. 2y" (x) - 6y'(x) + y(x) = (sinx)/ex 4. x" +5x'- 3x = 3¹ - 5. y"(0) + 3y' (0) − y(0) sec 6. 2w" (x) - 3w(x) = 4x sin²x + 4x cos²x 100 Ax

In Problems 1-8, decide whether or not the method of unde- termined coefficients can be applied to find a particular solu- tion of the given equation. 1. y" + 2y'-y = t¹e¹ 2. 5y"-3y' + 2y = t³ cos 4t 3. 2y" (x) - 6y'(x) + y(x) = (sinx)/ex 4. x" +5x'- 3x = 3¹ - 5. y"(0) + 3y' (0) − y(0) sec 6. 2w" (x) - 3w(x) = 4x sin²x + 4x cos²x 100 Ax

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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4.4 EXERCISES In Problems 1-8, decide whether or not the method of unde- termined coefficients can be applied to find a particular solu- tion of the given equation. 1. y" + 2y'-y = t¹¹e¹ 2. 5y"-3y' + 2y = t³ cos 4t 3. 2y" (x) -6y'(x) + y(x) = (sinx)/e4x 4. x" + 5x' - 3x = 3¹ 5. y" (0) + 3y' (0) − y(0) = sec 0 6. 2w" (x) - 3w(x) = 4x sin²x + 4x cos²x 7. 8z'(x) — 2z(x) = 3x¹00e4x cos 25x 8. ty" - y' + 2y = sin 3t In Problems 9-26, find a particular solution to the differential equation. 9. y" + 3y = -9 11. v"(x) +v(x) 5 = 2x 6 10. y" + 2y'-y = 10 12. 2x' + x = 31² 8
Transcribed Image Text:4.4 EXERCISES In Problems 1-8, decide whether or not the method of unde- termined coefficients can be applied to find a particular solu- tion of the given equation. 1. y" + 2y'-y = t¹¹e¹ 2. 5y"-3y' + 2y = t³ cos 4t 3. 2y" (x) -6y'(x) + y(x) = (sinx)/e4x 4. x" + 5x' - 3x = 3¹ 5. y" (0) + 3y' (0) − y(0) = sec 0 6. 2w" (x) - 3w(x) = 4x sin²x + 4x cos²x 7. 8z'(x) — 2z(x) = 3x¹00e4x cos 25x 8. ty" - y' + 2y = sin 3t In Problems 9-26, find a particular solution to the differential equation. 9. y" + 3y = -9 11. v"(x) +v(x) 5 = 2x 6 10. y" + 2y'-y = 10 12. 2x' + x = 31² 8
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