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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Differential Equations

NDA 2013 · Mathematics · Differential Equations

What is the degree of the differential equation ((d^4 y)/(d x^4))^...

What is the degree of the differential equation \left(\frac{d^4 y}{d x^4}\right)^{\frac{3}{5}}-5 \frac{d^3 y}{d x^3}+6 \frac{d^2 y}{d x^2}-8 \frac{d y}{d x}+5=0 ?

Options

  1. A55
  2. B44
  3. C33
  4. D22

Correct answer

C. 33

Step-by-step solution

(d4ydx4)=\left(\frac{d^4 y}{d x^4}\right)=\left(\frac{5 d^3 y}{d x^3}+\frac{6 d^2 y}{d x^2} \ldots \ldots . .\right)^5highestorderhighest order=4,degree, degree=3
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