Solution of the differential equation d y d x +a y=e^ m x is,

Mathematics · JEE Main · NTA Exams — Differential Equations

1. \((a+m) y=e^{m x}+C e^{-a x}\)
2. \(y=e^{m x}+C e^{-x x}\)
3. \((a+m) y=e^{m x}+c\)
4. \(y e^{a x}=m e^{m x}+c\)

Answer

(A) (a+m) y=e^ m x +C e^ -a x

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