Q22E

Question

use the annihilator method to determinethe form of a particular solution for the given equation.

$y'' + 6 y' + 8 y = e^{3 x} - s i n x$

Step-by-Step Solution

Verified

Answer

$y_{p} (x) = c_{3} e^{3 x} + c_{4} \sin x + c_{5} \cos x$

1Step 1: Set up the problem

Form the matrix with the given vectors as columns (or rows) and row reduce to echelon form.

2Step 2: Determine the result

$y_{p} (x) =.Previous Q21E Next Q23EOther exercises in this chapter Q20E find a differential operator that annihilates the given functionx2ex-xsin4x+x3 View solution Q21E use the annihilator method to determinethe form of a particular solution for the given equation.u''-5u'+6u=cos2x+1 View solution Q23E use the annihilator method to determinethe form of a particular solution for the given equation y''-5y'+6y=e3x-x2 View solution Q24E use the annihilator method to determinethe form of a particular solution for the given equation. θ''-θ=xex View solutionPractice SAT Questions Practice Tests Popular Questions Resources Textbook Solutions Leaderboard Company About Privacy Terms 100.000+ bài giải textbook & 3.000+ câu SAT Tất cả miễn phí! Lời giải chi tiết, hệ thống XP, huy hiệu và bảng xếp hạng giúp bạn luyện tập mỗi ngày. Luyện SAT ngay \to © 2026 StudyQuestionHub. All rights reserved.Home Search Textbooks Bookmarks ProfilerequestAnimationFrame(function(){$RT=performance.now()});Create Question Home Popular Recent Top Voted Textbooks Leaderboard Filters By Section Reading & Writing Math By Difficulty Easy Medium Hard$RB=[];$RV=function(a){$RT=performance.now();for(var b=0;b<a.length;b+=2){var c=a[b],e=a[b+1];null!==e.parentNode&&e.parentNode.removeChild(e);var f=c.parentNode;if(f){var g=c.previousSibling,h=0;do{if(c&&8===c.nodeType){var d=c.data;if("/$"===d||"/&"===d)if(0===h)break;else h--;else"$"!==d&&"$?"!==d&&"$~"!==d&&"$!"!==d&&"&"!==d||h++}d=c.nextSibling;f.removeChild(c);c=d}while(c);for(;e.firstChild;)f.insertBefore(e.firstChild,c);g.data="$";g._reactRetry&&requestAnimationFrame(g._reactRetry)}}a.length=0};
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