COMEDK · Maths · 32. Differential Equations
The solution of \(\frac{d y}{d x}-1=e^{x-y}\) is
- A \(e^{x-y}+x=c\)
- B \(e^{-(x-y)}+x=c\)
- C \(e^{-(x-y)}=x+c\)
- D \(e^{x-y}=x+c\)
Answer & Solution
Correct Answer
(C) \(e^{-(x-y)}=x+c\)
Step-by-step Solution
Detailed explanation
Given, differential equation is \(\frac{d y}{d x}-1=e^{x-y}\) \(\begin{array}{lrl} \text { Put } & & x-y=t \\ \Rightarrow & 1-\frac{d y}{d x}=\frac{d t}{d x} \end{array}\) So, given equation becomes,…
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