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For the differential equation , find th...

For the differential equation , find the particular solution satisfying the given condition:`(dy)/(dx)-y/x+cose c(y/x)=0; y=0`when x = 1

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Find the value of lamda so that the lines (1-x)/(3)=(7y-14)/(2lamda)=(...

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  2. Solve the following differential equation: (dy)/(dx)+y=cosx-sinx

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  3. For the differential equation , find the particular solution satisfyi...

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  4. By using properties of determinants, prove the following |(x+4,2x,2x),...

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  5. Write the vector equation of the following line: (x-5)/3=(y+4)/7=(6-z...

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  6. Using integration, find the area of the triangle ABC, coordinates o...

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  7. Find the area of circle 4x^2+4y^2=9 which is interior to the parabo...

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  8. If siny=xsin(a+y),\ \ prove that (dy)/(dx)=(sin ^2\ (a+y))/(sina)

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  9. If (cos"x")^y=(sin y)^x , find (dy)/(dx)

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  10. Solve the following differential equation: ((x^2-1)dy)/(dx)+2x y=1/(x...

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  11. Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ ...

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  12. If y=logtan(pi/4+x/2),\ show that (dy)/(dx)=secx. Also find the val...

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  13. If y=cos^(-1)((2^x+1)/(1+4^x)), find (dy)/(dx)

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  14. Evaluate : int0^pi(xtan\ x)/(sec\ x+tan\ x)\ dx

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  15. From the following matrix equation, find the value of x:[[x+y,4],[-5,...

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  16. Prove the following: tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)...

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  17. Form the differential equation representing the family of ellipses ...

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  18. Prove the following, using properties of determinants: |[a+b+2c,a,b],[...

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  19. Find the inverse of A=[[3,-1],[-4,1]] using elementary transformations...

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  20. Using properties of determinants, prove the following |(a^2+1,ab,ac),(...

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