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B
3x+3y=c
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C
3x−y=c
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D
3x+3−y=c
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Solution
The correct option is D3x+3−y=c Given differential equation is dydx=3x+y ⇒3−ydy=3xdx On integrating both sides ∫3−ydy=∫3xdx⇒−3−ylog3=3xlog3+k ⇒3x+3−y=c, where c=−klog3