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Each question contains statements given in two columns which have to be matched. Statements (a,b,c,d) in column I have to be matched with statements (p,q,r,s) in column II. If the correct match are a-p, s, b-r c-p, q. and d-s, then the correctly bubbled `4x4` matrix should be as follows: figure Column I, a) If `int(2^x)/(sqrt(1-4^x))dx=ksin^(-1)(f(x))+C ,` then `k`is greater than, b) If `int((sqrt(x))^5)/((sqrt(x))^7+x^6)dx=aln(x^k)/(x^k+1)+c ,` then `a k`is less than, c) If `int(x^4+1)/(x(x^2+1)^2)dx=kln|x|+m/(1+x^2)+n ,` where `n`is the constant of integration, then `m k`is greater than, d) If `int(dx)/(5+4cosx)=ktan^(-1)(mt a n x/2)+C ,` then `k//m`is greater than, COLUMN II p) 0 q) 1 r) 3 s)4

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Each question in this section contains statements given in two columns which have to be matched. Statements in Column I are labetted as A,B, C, and D where as statements in Column II are labelled (p), (q), (r) and (s).

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Statement 1 : Order of a differential equation represents the number...

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  2. Find the real value of m for which the substitution y=u^m will transfo...

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  3. Each question contains statements given in two columns which have to b...

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  4. Determine the equation of the curve passing through the origin, in ...

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  5. Let f(x), xge0, be a non-negative continous function,and let F(x) = in...

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  6. A hemi-spherical tank of radius 2 m is initially full of water and h...

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  7. A curve C has the property that if the tangent drawn at any point P...

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  8. A country has a food deficit of 10%. Its population grows continuously...

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  9. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is

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  10. Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x, where |x|< ...

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  11. If integrating factor of x(1-x^2)dy+(2x^2y-y-a x^3)dx=0 is e^(intp ...

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  12. A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=((e^x)^2)/...

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  13. The general solution of the differential equation, y^(prime)+yphi^(...

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  14. The solution of (dy)/(dx)=(x^2+y^2+1)/(2x y) satisfying y(1)=1 is gi...

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  15. The integrating factor of the differential equation (dy)/(dx)(x(log...

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

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

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  18. The general solution of the equation (dy)/(dx)=1+x y is

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  19. A normal is drawn at a point P(x , y) of a curve. It meets the x-ax...

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  20. If the solution of the differential equation (dy)/(dx)-y=1-e^(-x) and...

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