AP EAMCET · Maths · Differential Equations
The solution of the differential equation represents a family of
- A Ellipses
- B Parabolas
- C Straight lines
- D Circles
Answer & Solution
Correct Answer
(B) Parabolas
Step-by-step Solution
Detailed explanation
Given differential equation is 2xdydx-y=4.. ⇒2xdydx=4+y ⇒2dy4+y=dxx On integrating both sides, we get ⇒∫24+ydy=∫1xdx ⇒2log4+y=logx+logc Using loga+logb=logab and logan=nloga, ⇒log4+y2=logxc ⇒y+32=cx, which is of the form y-k2=4ax-h…
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