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Forms of linear equations
Beginner2021-12-03Added 20 answers
W(e2t,g(t))=e2tg′(t)−2e2tg(t)=3e4t, divide both sides with e2tg′−2g=3e2tThis is first order linear equation. Find integrating factor:μ(t)=exp(∫−2dt)=e−2tMultiply equation with μ :e−2tg′−2e−2tg=3(e−2tg)′=3, integratee−2tg=3t+cg=3te2t+ce2tResult:g=3te2t+ce2t
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