The solution of differential equation ( d y d x )=a x+b y is,

Mathematics · JEE Main · NTA ExamsDifferential Equations

The solution of differential equation \(\log \left(\frac{d y}{d x}\right)=a x+b y\) is,
  1. \(\frac{e^{a x}}{a}+\frac{e^{a y}}{b}+c=0\)
  2. \(\frac{e^{a x}}{a}+\frac{e^{-b y}}{b}+c=0\)
  3. \(\frac{e^{-a x}}{a}+\frac{e^{a y}}{b}+c=0\)
  4. None of these

Answer

(D) None of these

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