AP EAMCET · Maths · Differential Equations
On solving \(\frac{d y}{d x}=\frac{x-y+3}{2 x-2 y+5}\), the solution obtained is \(x=2(x-y)+\log (t)+c\), find \(t\)
- A \(x-y+2\)
- B \(x+y-2\)
- C \(x+y+2\)
- D \(x-y-2\)
Answer & Solution
Correct Answer
(A) \(x-y+2\)
Step-by-step Solution
Detailed explanation
Given differential equation, \(\frac{d y}{d x}=\frac{x-y+3}{2(x-y)+5}\) Let \(\quad x-y=t \Rightarrow 1-\frac{d y}{d x}=\frac{d t}{d x}\), so…
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