TS EAMCET · Maths · Differential Equations
The differential equation obtained by eliminating the arbitrary constants \(a\) and \(b\) from \(x y=a e^x+b e^{-x}\) is
- A \(x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}-x y=0\)
- B \(\frac{d^2 y}{d x^2}+2 y \frac{d y}{d x}-x y=0\)
- C \(x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}+x y=0\)
- D \(\frac{d^2 y}{d x^2}+\frac{d y}{d x}-x y=0\)
Answer & Solution
Correct Answer
(A) \(x \frac{d^2 y}{d x^2}+2 \frac{d y}{d x}-x y=0\)
Step-by-step Solution
Detailed explanation
Given, \(x y=a e^x+b e^{-x}\) On differentiating w.r.t. \(x\), two times…
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