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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Differential Equations

NDA 2015 · Mathematics · Differential Equations

The degree of the differential equation (d y)/(d x)-x=(y-x (d y)/(d...

The degree of the differential equation $\frac{d y}{d x}-x=\left(y-x \frac{d y}{d x}\right)^{-4} is

Options

  1. A2
  2. B3
  3. C4
  4. D5

Correct answer

C. 4

Step-by-step solution

∵dydx−x=(y−xdydx)−4⇒(dydx−x)(y−x⋅dydx)4=1\begin{aligned} & \because \frac{d y}{d x}-x=\left(y-x \frac{d y}{d x}\right)^{-4} \\ & \Rightarrow\left(\frac{d y}{d x}-x\right)\left(y-x \cdot \frac{d y}{d x}\right)^4=1 \end{aligned}\thereforeOrderoftheabovedifferentialequationOrder of the above differential equation=1\ \text{ and } degreedegree=5$
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