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If inta^x ty(t)dt=x^2+y(x), then fin...

If `int_a^x ty(t)dt=x^2+y(x),` then find `y(x)`

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. The solution of the differential equations: (x+x^(3)/(3!)+x^(5)/(5!)...

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  2. A and B are two separate reservoirs of water. Capacity of reservoir...

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  3. If inta^x ty(t)dt=x^2+y(x), then find y(x)

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  4. Given a function ' g' which has a derivative g' (x) for every real x a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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