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Question: Answered & Verified by Expert
What is the order of the differential equation?
$\frac{d y}{d x}+y=\frac{1}{\left(\frac{d y}{d x}\right)}$
MathematicsDifferential EquationsNDANDA 2008 (Phase 2)
Options:
  • A $-1$
  • B 0
  • C 1
  • D 2
Solution:
1278 Upvotes Verified Answer
The correct answer is: 1
$\frac{d y}{d x}+y=\frac{1}{\left(\frac{d y}{d x}\right)} \Rightarrow\left(\frac{d y}{d x}\right)^{2}+y\left(\frac{d y}{d x}\right)=1$
Hence required order of differential equation $=1$

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