AP EAMCET · Maths · Differential Equations
The solution of the differential equation \((x+1) \frac{d y}{d x}-x y=1\), satisfying \(y(0)=1\) is
- A \(\frac{1}{(1+x)}\left(e^x+1\right)=y\)
- B \(\log _e(1+x)+\frac{1}{2}=y\)
- C \(\left(e^x-\frac{1}{2}\right) \frac{1}{x}=y\)
- D \(\frac{1}{(1+x)}\left(2 e^x-1\right)=y\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{(1+x)}\left(2 e^x-1\right)=y\)
Step-by-step Solution
Detailed explanation
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