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Nos demais itens (a–d) o discriminante é ≥0, produzindo raízes reais (distintas ou repetidas).","

Resolva as seguintes EDOs determinando a solução geral e, quando houver condições iniciais do PVI, a solução particular.

(a) y'' + 2y' - 3y = 0

(b) 6y'' - y' - y = 0

(d) 9y'' + 6y' + y = 0

(e) y'' - 2y' + 6y = 0

(f) 4y'' + 9y = 0

(g) 6y'' - 5y' + y = 0; \\, y(0) = 4; \\, y'(0) = 0

(h) y'' + 4y' + 4y = 0; \\, y(-1) = 2; \\, y'(-1) = 1

(i) y'' + y = 0; \\, y\bigg(\\frac{\\pi}{3}\\bigg) = 2; \\, y'\\bigg(\\frac{\\pi}{3}\\bigg) = -4

(j) y'' - 2y' - 3y = 3e^{2t}

(k) y'' + 9y = t^2 e^{3t} + 6

(l) 2y'' + 3y' + y = t^2 + 3 \\sin(t)

(m) y'' + y' - 2y = 2t; \\, y(0) = 0; \\, y'(0) = 1

(n) y'' - 2y' + y = te^t + 4; \\, y(0) = 1; \\, y'(0) = 1

(o) y'' + 4y = 3 \\sin(2t); \\, y(0) = 2; \\, y'(0) = -1

",[226],{"_43":227,"_55":228,"_57":229,"_154":155,"_156":230,"_127":231,"_129":231,"_45":232,"_131":229},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_159":233,"_161":162,"_163":234},4,12302,{"_40":236,"_42":41,"_43":237,"_81":238,"_105":250,"_106":251,"_51":252},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[239,242,245,247],{"_43":240,"_85":86,"_87":241},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":243,"_85":91,"_87":244},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":236,"_85":95,"_87":246},"

Verdadeiro, falso, verdadeiro

",{"_43":248,"_85":99,"_87":249},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[226],[226,275,284,290,294,295,296,304,309,317,318,323,329],{"_43":276,"_55":277,"_57":278,"_154":155,"_156":279,"_127":171,"_129":171,"_45":280,"_131":283},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_159":281,"_161":162,"_163":282},5,30614,"engenharia-mecatronica-1",{"_43":285,"_55":63,"_57":64,"_154":155,"_156":286,"_127":287,"_129":287,"_45":288,"_131":289},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_159":162,"_161":162,"_163":181},"resistencia-dos-materiais-6",{"_43":286,"_55":169,"_57":170,"_154":155,"_156":276,"_127":231,"_129":231,"_45":291,"_131":293},{"_159":281,"_161":162,"_163":292},25741,"mecanica-3",{"_43":151,"_55":152,"_57":153,"_154":155,"_156":-5,"_127":157,"_129":157,"_45":158,"_131":153},{"_43":178,"_55":63,"_57":64,"_154":155,"_156":168,"_127":179,"_129":179,"_45":180,"_131":182},{"_43":297,"_55":298,"_57":299,"_154":155,"_156":279,"_127":171,"_129":171,"_45":300,"_131":303},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_159":301,"_161":162,"_163":302},21,45865,"engenharia-civil-3",{"_43":230,"_55":305,"_57":306,"_154":155,"_156":279,"_127":171,"_129":171,"_45":307,"_131":308},"Engenharia de Petróleo","engenharia-de-petroleo",{"_159":281,"_161":162,"_163":234},"engenharia-de-petroleo-1",{"_43":310,"_55":311,"_57":312,"_154":155,"_156":297,"_127":313,"_129":313,"_45":314,"_131":316},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_159":281,"_161":162,"_163":315},8852,"estruturas-1",{"_43":168,"_55":169,"_57":170,"_154":155,"_156":151,"_127":171,"_129":171,"_45":172,"_131":175},{"_43":319,"_55":63,"_57":64,"_154":155,"_156":227,"_127":320,"_129":320,"_45":321,"_131":322},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_159":162,"_161":162,"_163":181},"resistencia-dos-materiais-7",{"_43":324,"_55":325,"_57":64,"_154":155,"_156":310,"_127":326,"_129":326,"_45":327,"_131":328},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_159":162,"_161":162,"_163":181},"resistencia-dos-materiais-5",{"_43":279,"_55":330,"_57":331,"_154":155,"_156":-5,"_127":332,"_129":332,"_45":333,"_131":331},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_159":334,"_161":162,"_163":335},29,351586,"tagsTree",[150,338],{"_43":279,"_55":330,"_57":331,"_154":155,"_156":-5,"_127":332,"_129":332,"_45":333,"_131":331,"_165":339},[340,346,352],{"_43":276,"_55":277,"_57":278,"_154":155,"_156":279,"_127":171,"_129":171,"_45":280,"_131":283,"_165":341},[342],{"_43":286,"_55":169,"_57":170,"_154":155,"_156":276,"_127":231,"_129":231,"_45":291,"_131":293,"_165":343},[344],{"_43":285,"_55":63,"_57":64,"_154":155,"_156":286,"_127":287,"_129":287,"_45":288,"_131":289,"_165":345},[],{"_43":297,"_55":298,"_57":299,"_154":155,"_156":279,"_127":171,"_129":171,"_45":300,"_131":303,"_165":347},[348],{"_43":310,"_55":311,"_57":312,"_154":155,"_156":297,"_127":313,"_129":313,"_45":314,"_131":316,"_165":349},[350],{"_43":324,"_55":325,"_57":64,"_154":155,"_156":310,"_127":326,"_129":326,"_45":327,"_131":328,"_165":351},[],{"_43":230,"_55":305,"_57":306,"_154":155,"_156":279,"_127":171,"_129":171,"_45":307,"_131":308,"_165":353},[354],{"_43":227,"_55":228,"_57":229,"_154":155,"_156":230,"_127":231,"_129":231,"_45":232,"_131":229,"_165":355},[356],{"_43":319,"_55":63,"_57":64,"_154":155,"_156":227,"_127":320,"_129":320,"_45":321,"_131":322,"_165":357},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários