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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

",[154],{"_20":155,"_59":156,"_96":157,"_98":99,"_100":158,"_71":159,"_73":159,"_67":160,"_110":157},"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",{"_104":161,"_106":107,"_108":162},4,12302,{"_17":18,"_19":18,"_20":164,"_22":165,"_46":18,"_47":178,"_91":179},"4a3f20e5-655d-4a84-bbdf-aa3b0de4581a",[166,169,172,175],{"_20":167,"_26":27,"_28":168},"8dee6a5e-57a3-4743-8b5a-da9b8c54fb32","Verdadero, verdadero, verdadero, verdadero.",{"_20":170,"_26":32,"_28":171},"ca0a9b0d-3004-478e-9ca9-bafa5243aca9","Verdadero, verdadero, falso, verdadero.",{"_20":173,"_26":36,"_28":174},"68712800-8b4b-46af-9cdf-3f83e4032c30","Verdadero, falso, verdadero, falso.",{"_20":176,"_26":40,"_28":177},"1f5e395b-c362-4503-8261-dcfcae96b1ce","Falso, verdadero, verdadeiro, verdadeiro.","

Divide el polinomio p(x) = 3x^4 + 4x^3 + x^2 entre el polinomio q(x) = 2+x. Como el polinomio divisor, q(x), es de grado 2, debemos encontrar dos polinomios, un polinomio cociente (c(x)) y un polinomio resto (r(x)) de grado 1 o 0, tales que p(x) = q(x) * c(x) + r(x).

El polinomio p(x) es de grado 4.

El polinomio q(x) es de grado 1.

El polinomio cociente c(x) es de grado 2.

El polinomio resto r(x) es de grado 1 o 0.

",[154],{"_17":18,"_19":18,"_20":181,"_22":182,"_46":18,"_47":195,"_91":196},"93a32dd4-5fc6-4ccb-a76f-4724bf113742",[183,186,189,192],{"_20":184,"_26":27,"_28":185},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_20":187,"_26":32,"_28":188},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_20":190,"_26":36,"_28":191},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","

Verdadeiro, falso, verdadeiro

",{"_20":193,"_26":40,"_28":194},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","

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????",[154],[154,238,247,257,264,271,272,280,286,291,297,304],{"_20":239,"_59":240,"_96":241,"_98":99,"_100":242,"_71":102,"_73":102,"_67":243,"_110":246},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","Termodinâmica","termodinamica","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_104":244,"_106":107,"_108":245},2,11846,"termodinamica-3",{"_20":248,"_59":249,"_96":250,"_98":99,"_100":251,"_71":252,"_73":252,"_67":253,"_110":256},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_104":254,"_106":107,"_108":255},5,30614,"engenharia-mecatronica-1",{"_20":258,"_59":259,"_96":260,"_98":99,"_100":248,"_71":159,"_73":159,"_67":261,"_110":263},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_104":254,"_106":107,"_108":262},25741,"mecanica-3",{"_20":242,"_59":265,"_96":266,"_98":99,"_100":251,"_71":252,"_73":252,"_67":267,"_110":270},"Engenharia Mecânica","engenharia-mecanica",{"_104":268,"_106":107,"_108":269},11,36318,"engenharia-mecanica-2",{"_20":94,"_59":95,"_96":97,"_98":99,"_100":101,"_71":102,"_73":102,"_67":103,"_110":97},{"_20":273,"_59":274,"_96":275,"_98":99,"_100":-5,"_71":276,"_73":276,"_67":277,"_110":275},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_104":278,"_106":107,"_108":279},18,135489,{"_20":281,"_59":240,"_96":241,"_98":99,"_100":155,"_71":282,"_73":282,"_67":283,"_110":285},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_104":107,"_106":107,"_108":284},8597,"termodinamica-5",{"_20":158,"_59":287,"_96":288,"_98":99,"_100":251,"_71":252,"_73":252,"_67":289,"_110":290},"Engenharia de Petróleo","engenharia-de-petroleo",{"_104":254,"_106":107,"_108":162},"engenharia-de-petroleo-1",{"_20":101,"_59":292,"_96":293,"_98":99,"_100":273,"_71":252,"_73":252,"_67":294,"_110":296},"Física","fisica",{"_104":268,"_106":107,"_108":295},13777,"fisica-4",{"_20":251,"_59":298,"_96":299,"_98":99,"_100":-5,"_71":300,"_73":300,"_67":301,"_110":299},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_104":302,"_106":107,"_108":303},29,351586,{"_20":305,"_59":240,"_96":241,"_98":99,"_100":258,"_71":306,"_73":306,"_67":307,"_110":308},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_104":107,"_106":107,"_108":284},"termodinamica-4","tagsTree",[311,315],{"_20":273,"_59":274,"_96":275,"_98":99,"_100":-5,"_71":276,"_73":276,"_67":277,"_110":275,"_111":312},[313],{"_20":101,"_59":292,"_96":293,"_98":99,"_100":273,"_71":252,"_73":252,"_67":294,"_110":296,"_111":314},[93],{"_20":251,"_59":298,"_96":299,"_98":99,"_100":-5,"_71":300,"_73":300,"_67":301,"_110":299,"_111":316},[317,323,327],{"_20":248,"_59":249,"_96":250,"_98":99,"_100":251,"_71":252,"_73":252,"_67":253,"_110":256,"_111":318},[319],{"_20":258,"_59":259,"_96":260,"_98":99,"_100":248,"_71":159,"_73":159,"_67":261,"_110":263,"_111":320},[321],{"_20":305,"_59":240,"_96":241,"_98":99,"_100":258,"_71":306,"_73":306,"_67":307,"_110":308,"_111":322},[],{"_20":242,"_59":265,"_96":266,"_98":99,"_100":251,"_71":252,"_73":252,"_67":267,"_110":270,"_111":324},[325],{"_20":239,"_59":240,"_96":241,"_98":99,"_100":242,"_71":102,"_73":102,"_67":243,"_110":246,"_111":326},[],{"_20":158,"_59":287,"_96":288,"_98":99,"_100":251,"_71":252,"_73":252,"_67":289,"_110":290,"_111":328},[329],{"_20":155,"_59":156,"_96":157,"_98":99,"_100":158,"_71":159,"_73":159,"_67":160,"_110":157,"_111":330},[331],{"_20":281,"_59":240,"_96":241,"_98":99,"_100":155,"_71":282,"_73":282,"_67":283,"_110":285,"_111":332},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários