Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

The general solution of the differential equation \(\left[\frac{e^{-2\sqrt{x}}}{\sqrt{x}}-\frac{y}{\sqrt{x}}\right]\frac{dx}{dy}=1\left(x \neq 0\right)\) is

Options:

\(ye^{\sqrt{x}}=2\sqrt{x}+c\)

\(ye^{\sqrt{x}}=2x+c\)

\(ye^{2\sqrt{x}}=2x+c\)

\(ye^{\sqrt{x}}=x+c\)

Correct Answer:

\(ye^{2\sqrt{x}}=2x+c\)