TS EAMCET · Maths · Differential Equations
The curve that satisfies the differential equation passes through and intersects the curve at an angle . Then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given: xydy-1+y2dx=0 ⇒12∫2y1+y2dy=∫dxx ⇒12log1+y2=logx+logC ⇒1+y2=Cx ⇒1+y2=C1x2 It passes through 1,0, so C1=1, hence curve is 1+y2=x2 ....1 Differentiating both sides w.r.t. x, we get 2ydydx=2x ⇒dydx=m1=xy And,…
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