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TS EAMCET · Maths · Differential Equations

The degree of the differential equation xd2ydx213+2x2d2ydx253+7dydx+y=0

  1. A 15
  2. B 5
  3. C 12
  4. D 3
Verified Solution

Answer & Solution

Correct Answer

(B) 5

Step-by-step Solution

Detailed explanation

Given: xd2ydx213+2x2d2ydx253+7dydx+y=0 ⇒xd2ydx213+2x2d2ydx253=-7dydx-y   ....1 Cubing both sides, we get x3d2ydx2+8x6d2ydx25+6x3d2ydx22xd2ydx213+2x2d2ydx253=-7dydx-y3 ⇒x3d2ydx2+8x6d2ydx25+6x3d2ydx22-7dydx-y=-7dydx-y3…