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Check whether y=e^(-3x) is a solution of...

Check whether `y=e^(-3x)` is a solution of the differential equation `frac(d^2y)(dx^2)+frac(dy)(dx)-6y=0`

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BODY BOOKS PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. Find the equation of a line perpendicular to the tangent to the curve ...

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  2. The general solution of a differential equation contains 3 arbitrary c...

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  3. Check whether y=e^(-3x) is a solution of the differential equation fra...

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  4. Consider the following figure: Find the distance of PQ.

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  5. Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=f...

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  6. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

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  7. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

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  8. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

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  9. Solve tan^-1 2x+tan^-1 3x=pi/4

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  10. Find dy/dx if y=x^x+x^sinx.

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  11. if y=xcosx, find frac(d^2y)(dx^2)

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  12. intfracf(x)(tanx)dx=logabstanx+c, then f(x) is

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  13. If d/(d x) f(x)=4 x^3-3/x^4 such that f(2)=0, then f(x) is a)x^4+1/x^3...

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  14. The area bounded by the curve y=f(x), x-axis and the line x=a and x=b ...

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  15. From the following figure, find the area of the region bounded by the ...

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  16. Form the differential equation corresponding to the curve y=mx

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  17. Consider the D.E dy/dx+y/x=x^2 Solve the D.E.

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  18. Find a unit vector perpendicular to the plane ABC where A,B,C are poin...

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  19. The Cartesian equation of two lines are (x+1)/7=(y+1)/-6=(z+1)/1 and...

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  20. Find the shortest distance between the lines (x+1)/7=(y+1)/-6=(z+1)/1 ...

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