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If y+d/(dx)(x y)=x(sinx+logx), find y(x)...

If `y+d/(dx)(x y)=x(sinx+logx)`, find `y(x)`.

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Given a function ' g' which has a derivative g' (x) for every real x a...

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  2. Solve ((dy)/(dx))^2-x(dy)/(dx)+y=0

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  3. If y+d/(dx)(x y)=x(sinx+logx), find y(x).

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  4. Solve : {xcos(y/x)+ysin(y/x)}ydx={ysin(y/x)-xcos(y/x)}xdy

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  5. Solve xy(dy)/(dx)=x^2+2y^2

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  6. Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)

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  7. For the differential equation whose solution is (x-h)^2+(y-k)^2=a^2 (a...

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  8. Which one of the following function(s) is/are homogeneous? (a) f(x,y...

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  9. The solution of the differential equation (e^(x^2)+e^(y^2))y(dy)/(dx...

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  10. The solution of the differential equation y^(primeprimeprime)-8y^(prim...

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  11. Differential equation of the family of curves v=A/r+B , where A and ...

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  12. The function f(theta)=d/(d(theta))int0^theta(dx)/(1-costhetacosx) sat...

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  13. The differential equation of the curve x/(c-1)+y/(c+1)=1 is

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  14. The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/...

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  15. Which of the following equation(s) is/are linear? (a) dy/dx+y/x=lnx(b)...

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  16. The equation of the curve satisfying the differential equation y((d...

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  17. Find a pair of curves such that (a)   the tangents drawn at poin...

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  18. If y1 and y2 are two solutions to the differential equation (dy)/(dx...

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  19. If y1 and y2 are the solution of the differential equation (dy)/(dx)...

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  20. Let the function ln f(x) is defined where f(x) exists for 2 geq x an...

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