Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The degree of the differential equation

$x=1+\frac{d y}{d x}+\frac{1}{2 !}\left(\frac{d y}{d x}\right)^2+\frac{1}{3 !}\left(\frac{d y}{d x}\right)^3+...$, is

Options:

3

1

not defined

none of these

Correct Answer:

1

Explanation:

We have,

$x=e^{\frac{d y}{d x}} \Rightarrow \log x=\frac{d y}{d x}$

Clearly, it is differential equation of degree one.