[{"_1":2,"_245":-5,"_246":-5},"loaderData",{"_3":4,"_31":32},"root",{"_5":6,"_28":29,"_30":-5},"registerModalConfig",{"_7":8,"_15":16},"blockedConfig",{"_9":10,"_15":16,"_17":18,"_21":22,"_24":25},"answerQuestion",{"_11":12,"_13":14},"subtitle","Crie sua conta gratuita e utilize todos os nossos recursos de questões disponiveis","title","Para responder, cadastre-se gratuitamente","customBlockedUI",true,"defaultRegister",{"_11":19,"_13":20},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis","Cadastre-se gratuitamente","imageSearch",{"_11":19,"_13":23},"Para buscar por imagem, cadastre-se gratuitamente","questionAnswer",{"_11":26,"_13":27},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis para responder","Para ver a resposta, cadastre-se gratuitamente","url","https://prouniversitario.com/exercicios/c5cd552d-005c-446a-b7f1-8f4abf1132cf?video=true","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_107":108,"_186":187,"_51":211,"_230":231,"_241":242,"_243":244},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":41,"_43":44,"_45":46,"_77":78,"_101":41,"_102":103,"_104":105,"_106":16},"correctOptionId","","difficulty","id","c5cd552d-005c-446a-b7f1-8f4abf1132cf","metadata",{"_47":48,"_73":74,"_75":76},"pd",{"_49":50,"_51":52,"_53":54,"_61":62,"_63":64,"_65":16,"_66":67,"_68":36,"_69":70,"_71":72},"area","Outros","tags",[],"subjects",[55],{"_43":56,"_57":58,"_59":60},37020404,"name","Equações Diferenciais Ordinárias","alias","equacoes-diferenciais-ordinarias","materialId","83208826","answerCount",1,"isIndexable","mainSubject",{"_43":56,"_57":58,"_59":60},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","Graduate","source","PD","externalId","170655513","options",[79,85,89,93,97],{"_43":80,"_81":82,"_83":84},"d63ba95c-a112-4839-98e8-c5a66eaed587","label","A","text","

\text{sen}(t) - 4e^{5t} + 8e^{2t}

",{"_43":86,"_81":87,"_83":88},"a73e46b4-c37f-47c8-a726-144868b5b4f3","B","

\text{cos}(t) + 4e^{5t} - 8e^{2t}

",{"_43":90,"_81":91,"_83":92},"d71fdbdb-8eca-4bd5-905c-f18b510d1c76","C","

\text{sen}(t) \text{cos}(t) - 4e^{5t} + 8e^{2t}

",{"_43":94,"_81":95,"_83":96},"d26e975a-eb22-4ed0-a778-5b8e857453c6","D","

\text{cos}_{3}(t) - 4e^{t} + 8e^{2 - t}

",{"_43":98,"_81":99,"_83":100},"f68cabeb-7e5e-4d24-a405-8e9ad04f69f4","E","

\text{cos}(t) - 4e^{5t} + 8e^{2t}

","solution_explanation","statement","

Resolva o PVI dado usando o método de transformada de Laplace: y'' - 7y' + 10y = 9 \text{cos}(t) + 7 \text{sen}(t); \\, y(0) = 5; \\, y'(0) = -4

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Leia o trecho a seguir:

A função da derivada parcial em relação a um valor x_i é a derivada de f em relação a x_i uma vez que admitamos todas as outras variáveis como constantes.

Considere a função: f(x,y,z) = 3x + 5y. Derivadas parciais, ao calcular as derivadas parciais da função acima, obtemos:

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