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Question: Answered & Verified by Expert
Consider the following in respect of the differential equation:
$\frac{d^{2} y}{d x^{2}}+2\left(\frac{d y}{d x}\right)^{2}+9 y=x \quad$
1.The degree of the differential equation is $1 .$
2.The order of the differential equation is 2 . Which of the above statements is/are correct?
MathematicsDifferential EquationsNDANDA 2019 (Phase 1)
Options:
  • A 1 only
  • B 2 only
  • C Both 1 and 2
  • D Neither 1 nor 2
Solution:
1813 Upvotes Verified Answer
The correct answer is: Both 1 and 2
$\frac{d^{2} y}{d x^{2}}+2\left(\frac{d y}{d x}\right)^{2}+9 y=x$
Order $=2$
Degree $=1$

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