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

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

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

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

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

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  9. find frac(dy)(dx),if y=x^x+x^sinx

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

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

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  12. if {df(x)}/dx=4x^2-3/x^4, given f(2)=0. Find f(x)

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  13. Area bounded by the curve y=f(x),x axis and the linesx=a and x=b is

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

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

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

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

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

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

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  20. Let two independent events A and B such that P(A)=0.3,P(B)=0.6.Find ...

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