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Find the general solution of the followi...

Find the general solution of the following
`(e^x+1)dy=y(e^x)dx`

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Determine whether or not the following paris of lines intersect: (x-1)...

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  2. Find the general solution of the following (1+x^2)dy=xydx

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  3. Find the general solution of the following (e^x+1)dy=y(e^x)dx

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  4. Show that the lines (x-1)/23=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...

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  5. Write the vector equation of the following lines and hence find distan...

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  6. Find the normal unit vector to the plane x+2y+3z-6=0.

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  7. Find the unit vector perpendicular to the plane vecr.(6hati+3hatj-2hat...

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  8. Find the cartesian equation of the following planes: vecr.(hati+hatj+h...

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  9. Find the cartesian equation of the following planes: vecr.(2hati-3hatj...

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  10. Find the equations of the line passing through the point (1,-1,2) and...

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  11. Find the equation of the line passing through the point with position ...

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  12. Find the general solution of the following (1+logx)xdy=ydx

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  13. Find the equation of the plane passing through the point (3,-3, 1) and...

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  14. Find the equation of a plane which bisects perpendicularly the line se...

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  15. Find the equation of the plane through the point (1,4,-2) and parallel...

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  16. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  17. Find the equation of the plane through (1,5,-2) and parallel to the pl...

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  18. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

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  19. Find the vector equations of the line passing through the point (1,-1,...

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  20. Find the vector equation of the line through the origin, which is perp...

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