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General solution of y(dy)/(dx)+by^(2)=a ...

General solution of `y(dy)/(dx)+by^(2)=a cos x, 0 lt x lt 1` is
Here c is an arbitary constant

A

`y^(2)=2a(2b sin x + cos x)+ce^(-2bx)`

B

`(4b^(2)+1)y^(2)=2a(sin x+2b cos x)+c e^(-2bx)`

C

`(4b^(2)+1)y^(2)=2a(sin x+2b cos x)+c e^(2bx)`

D

`y^(2)=2a(2b sin x + cos x)+ce^(-2bx)`

Text Solution

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

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  2. For non - zero vectors vec(a) and vec(b) id |vec(a)+vec(b)|lt|vec(a)-v...

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  3. General solution of y(dy)/(dx)+by^(2)=a cos x, 0 lt x lt 1 is Here ...

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  4. The points of the ellipse 16x^(2)+9y^(2)=400 at which the ordinate dec...

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  5. The letters of the word COCHIN are permuted and all permutations are a...

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  6. If the matric A=((2,0,0),(0,2,0),(2,0,2)), then A^(n)=((a,0,0),(0,a,0)...

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  7. The sum of n terms of the following series, 1^(3)+3^(3)+5^(3)+7^(3)+…....

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  8. If alpha and beta are roots of ax^(2)+bx+c=0 then the equation whose r...

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  9. If omega is an imaginary cube root of unity, then the value of (2-omeg...

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  10. If ""^(n)C(r-1)=36, ""^(n)C(r )=84 and ""^(n)C(r+1)=126 then the value...

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  11. In a group 14 males and 6 females, 8 and 3 of the males and females re...

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  12. The equation x^(3)-yx^(2)+x-y=0 represents

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  13. The locus of the midpoints of chords of the circle x^(2)+y^(2)=1 which...

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  14. The locus of the midpoints of all chords of the parabola y^(2)=4ax thr...

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  15. If [x] denotes the greatest integer less than or equal to x, then the ...

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  16. The number of points at which the function f(x)=max {a-x, a+x, b}, -oo...

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  17. If the parabola x^(2)=ay makes an intercept of length sqrt(40) unit on...

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  18. If f(x) is a function such that f'(x)=(x-1)^(2)(4-x), then

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  19. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangents are p...

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  20. If varphi(t)={{:("1, for 0" le t lt 1),("0 otherwise"):} then int...

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