Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Order and degree of the differential equation $y \frac{d y}{d x}+\frac{4}{\frac{d y}{d x}}=5$ are

Options:

1, 2 respectively

1, 1 respectively

1, 0 respectively

2, 1 respectively

Correct Answer:

1, 2 respectively

Explanation:

$\frac{d y}{d x}+\frac{4}{\frac{d y}{d x}}=5$

Multiplying eqn by $\frac{dy}{dx}$

$y\left(\frac{d y}{d x}\right)^2+4=5\left(\frac{d y}{d x}\right)$

Order = 1

Degree = 2

Option: 1