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Question: Answered & Verified by Expert
The product of the degree and order of the differential equation $\left(\frac{d^{2} y}{d x^{2}}\right)^{2}-\left(\frac{d y}{d x}\right)^{3}=y^{3}$ is
MathematicsDifferential EquationsCOMEDKCOMEDK 2015
Options:
  • A 4
  • B 6
  • C 2
  • D 3
Solution:
2871 Upvotes Verified Answer
The correct answer is: 4
Given, differential equation is $\left(\frac{d^{2} y}{d x^{2}}\right)^{2}-\left(\frac{d y}{d x}\right)^{3}=y^{3}$
So, Order $=2$ and Degree $=2$
$\therefore$ Order $\times$ Degree $=2 \times 2=4$

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