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If =3e^(2x)+2e^(3x) then prove that (d^(...

If `=3e^(2x)+2e^(3x)` then prove that `(d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0`

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OMEGA PUBLICATION-HP BOARD MARCH 2017-SERIES -B
  1. Using the properties of determinats, show that |(y+k,y,y),(y,y+k,y),(y...

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  2. Find (dy)/(dx) if sin^(2)y+cosxy=pi

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  3. If =3e^(2x)+2e^(3x) then prove that (d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0

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  4. Evlauate int(x+1)sqrt(2x^(2)+3)dx

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  5. Evaluate int(xe^(x))/((1+x)^(2))dx

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  6. Evaluate int(0)^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx

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  7. Solve differential equation(dy)/(dx)+secxy=tanx(0lexle(pi)/2)

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  8. Solve the differential equation ylogydx-xdy=0

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  9. Show that the points A(3,2,1),B(4,5,5),C(4,2,-2) and D(6,5,-1) are cop...

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  10. Find the angle between the pair of lines vecr=2hati-5hatj+hatk+lamda(...

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  11. Assume that each child born is equally likely to be a boy or a girl. I...

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  12. Find the probabiltiy distribution of number of tails in the simultaneo...

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  13. A and B throw a die alternatively till one of them gets a ‘6’ and wins...

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  14. Solve the following system of linear equations by matrix method: x - y...

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  15. Find the equations of the tangent and normal to the parabola y^(2)=4ax...

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  16. Find two positive numbers x and y such that their sum is 35 and produc...

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  17. Find the area of the region bounded by x^(2)=4y, y=2, y=4 and y-axis t...

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  18. Find the area of the region bounded by two parabolas y=x^(2) and y^(2...

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  19. Find the distance between the lines l1 and l2 given by : vecr = hati+...

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  20. Find the coordinates of the point where the line through the points A(...

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