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Statement 1 : The order of the different...

Statement 1 : The order of the differential equation whose general solution is `y==c_1cos2x+c_2sin^2x+c_3cos^2x+c_4e^(2x)+c_5e^(2x+c_6)` is 3. Statement 2 : Total number of arbitrary parameters in the given general solution in the statement (1) is 3. Which of the following statements is/are correct ?

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CENGAGE PUBLICATION-DIFFERENTIAL EQUATIONS-All Questions
  1. Statement 1 : Degree of the differential equation 2x-3y+2=log((dy)/(dx...

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  2. Statement 1 : The differentia equation of the family of curves repr...

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  3. Statement 1 : The order of the differential equation whose general s...

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  4. Statement 1 : Order of a differential equation represents the number...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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