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Show that the differential equation ((x-...

Show that the differential equation `((x-y)dy)/(dx)=x+2y ,` is homogeneous and solve it.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find lambda if (2 hat i+6 hat j+14 hat k)xx\ ( hat i-\ lambda hat j+7...

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  2. Evaluate the following: int(x+2)/(sqrt((x-2)(x-3)))\ dx

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  3. Show that the differential equation ((x-y)dy)/(dx)=x+2y , is homoge...

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  4. In a certain college, 4% of boys and 1% of girls are taller than 1....

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  5. A company produces soft drinks that has a contract which requires t...

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  6. Find the vector equation of the plane passing through the points (2...

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  7. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  8. Find the area of the region in the first quadrant enclosed by x-a xi s...

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  9. Show that the altitude of the right circular cone of maximum volume ...

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  10. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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  11. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  12. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 h...

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  13. Evaluate : int(cosx)/((2+sinx)dx\ (3+4sinx)

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  14. If [[1,2],[3,4]] [[3,1],[2,5]]=[[7,11],[k,23]], then write the value o...

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  15. Find the particular solution of the differential equation. (dy)/(dx...

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  16. Show that f\ : NvecN ,\ given by f(x)={x+1, if\ x\ i s\ od dx-1,\ \ ...

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  17. Evaluate : int(logx)/x\ dxdot

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  18. What is the value of the determinant |(0,2,0),(2,3,4),(4,5,6)|?

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  19. What is the degree of the following differential equation? 5x\ ((d...

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  20. What is the range of the function f(x)=(|x-1|)/((x-1))?

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