Question:
The solution of \(x ^2 \frac{d^2y}{dx^2}+x+\frac{dy}{dx}+y=\sin(\log x^2)\).
The solution of \(x ^2 \frac{d^2y}{dx^2}+x+\frac{dy}{dx}+y=\sin(\log x^2)\).
Updated On: Mar 12, 2025
- \(y = Acos (logx) + Bsin(log.x)-\frac{1}{3}sin(logx^2)\)
- \(y = Acos (logx^2) + Bsin(log.x^2)+\frac{1}{3}sin(logx)\)
- \(y = Acos (logx) - Bsin(log.x)+\frac{1}{3}cos(logx)\)
- \(y = Acos (logx^2) - Bsin(log.x^2)-\frac{1}{3}cos(logx^2)\)
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The Correct Option is A
Solution and Explanation
The correct option is (A):\(y = Acos (logx) + Bsin(log.x)-\frac{1}{3}sin(logx^2)\) .
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