Determine the equation of the curve passing through the origin which satisfies the…
Mathematics · JEE Main · NTA Exams — Differential Equations
Determine the equation of the curve passing through the origin which satisfies the differential equation, \(\frac{d y}{d x}=\sin (10 x+6 y)\).
- \(\tan ^{-1}\left(\frac{5 \tan (5 x+3 y)+3}{4}\right)=4 x+\tan ^{-1} 3 / 4\)
- \(\tan ^{-1}\left(\frac{5 \tan (5 x+3 y)+3}{4}\right)=4 x-\tan ^{-1} 3 / 4\)
- \(\tan ^{-1}\left(\frac{5 \tan (5 x+3 y)+3}{4}\right)=4 x+\tan ^{-1} 4 / 3\)
- None of these
Answer
(A) ^ -1 ( 5 (5 x+3 y)+3 4 )=4 x+ ^ -1 3 / 4
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