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Question: Answered & Verified by Expert
The solution of the differential equation $\frac{d y}{d x}=x^2+\sin 3 x$ is
MathematicsDifferential EquationsJEE Main
Options:
  • A $y=\frac{x^3}{3}+\frac{\cos 3 x}{3}+c$
  • B $y=\frac{x^3}{3}-\frac{\cos 3 x}{3}+c$
  • C $y=\frac{x^3}{3}+\sin 3 x+c$
  • D None of these
Solution:
1532 Upvotes Verified Answer
The correct answer is: $y=\frac{x^3}{3}-\frac{\cos 3 x}{3}+c$
$\frac{d y}{d x}=x^2+\sin 3 x$. On integrating, $y=\frac{x^3}{3}-\frac{\cos 3 x}{3}+c$

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