TS EAMCET · Maths · Differential Equations
The general solution of \(\left(\left(1+x^2\right) y \sin x-2 x y\right) d x-\log y^{1+x^2} d y=0\) is
- A \(\sin x-\log \left(1+x^2\right)=\log y+c\)
- B \((\log y)^2+2 \cos x+\log \left(1+x^2\right)^2=c\)
- C \(\log y=2 \cos x+\log \left(1+x^2\right)+c\)
- D \(\frac{\log y}{y}=2 \sin x+\cos x \log \left(1+x^2\right)+c\)
Answer & Solution
Correct Answer
(B) \((\log y)^2+2 \cos x+\log \left(1+x^2\right)^2=c\)
Step-by-step Solution
Detailed explanation
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