The solution of the differential equation 2 d x d y − x y = x 2 y 2 , given that y = 2 when x = 1 , is

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

The solution of the differential equation $2 \frac{d y}{d x}-\frac{y}{x}=\frac{y^2}{x^2}$, given that $y=2$ when $x=1$, is

MathematicsDifferential EquationsAP EAMCETAP EAMCET 2017 (25 Apr Shift 2)

Options:

A $2 y=\frac{x}{1+\sqrt{x}}$
B $y=\frac{2 x}{2-\sqrt{x}}$
C $y=\frac{x}{2(1+\sqrt{x})}$
D $y=\frac{2 x}{1+\sqrt{x}}$

Solution:

1665 Upvotes Verified Answer

The correct answer is: $y=\frac{2 x}{2-\sqrt{x}}$

No solution. Refer to answer key.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play