AP EAMCET · Maths · Differential Equations
The solution of \((x+y+1) \frac{d y}{d x}=1\) is
- A \(y=(x+2)+c e^x\)
- B \(x=-(y+2)+c e^y\)
- C \(x=-(y+2)+c e^y\)
- D \(x=(y+2)^2+c e^y\)
Answer & Solution
Correct Answer
(C) \(x=-(y+2)+c e^y\)
Step-by-step Solution
Detailed explanation
Given, \((x+y+1) \frac{d y}{d x}=1\) \(\Rightarrow \quad \frac{d x}{d y}=x+y+1\) \(\Rightarrow \quad \frac{d x}{d y}-x=y+1\), which is linear.…
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