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" 15."y+(d)/(dx)(xy)=x(sin x+log x)...

" 15."y+(d)/(dx)(xy)=x(sin x+log x)

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If y+(d)/(dx)(xy)=x(sin x+log x), find y(x)

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The solution of the differential equation log x (dy)/(dx) + (y)/(x) = sin 2x is a) y log | x | = C - (1)/(2) cos x b) y log |x| = C + (1)/(2) cos 2x c) y log | x| = C - (1)/(2) cos 2x d) xy log | x | = C - (1)/(2) cos 2x

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If xy= A sin x + B cos x is the solution of the differential equation x(d^(2) y)/(dx^(2)) - 5a(dy)/(dx) + xy=0 then the value of a is equal to