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Find the particular solution of the differential equation: `(1+e^2x)dy+(1+y^2)e^xdx=0`, given that `y(0)=1`

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Find the particular solution of the differential equation: (1+e^(2x))dy+(1+y^(2))e^(x)dx=0 given that y=1, when x=0

Find the particular solution of the differential equation (1+e^(2x))dy+(1+y^(2))e^(x)dx=0 given that y=1 when x=0

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Find the particular solution of the differential equation x(1+y^(2))dx -y(1+x^(2))dy=0 , given that y = 1 when x = 0.

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Four cards are drawn one by one with replacement from a well-shuffled ...

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  2. int1^5(|x-1|+|x-2|+|x-4|)\ dx

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  3. Find the particular solution of the differential equation: (1+e^2x)dy+...

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  4. The probability of two students A and B coming to school are 2/7 and 4...

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  5. If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

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  6. If x,y,z are different and Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...

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  7. Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...

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  8. int cos2x*cos4x*cos6x dx

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  9. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

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  10. Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

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  11. Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...

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  12. Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...

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  13. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

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  14. Obtain the inverse of the following matrix, using elementary operation...

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  15. Using vectors, find the value of x such that the four points A(x,5,-1)...

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  16. For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...

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  17. Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...

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  18. Using matrices solve the following system of linear equations: {(2x+3y...

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  19. Find int ((x-1)/ ((x-2)(x-3))) dx

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  20. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

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