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Match the differential equations in List...

Match the differential equations in List-I to their integrating factors in List-II
`{:(,"List - I",,"List-II",),((i), (x^(3)+1)(dy)/(dx)+x^(2)y=0,(a),x^(3),),((ii),x^(2)(dy)/(dx) +3xy = x^(6),(b),(x^(3)+1)^(2),),((iii),(x^(3)+1)(dy)/(dx)+6x^(2)(x^(3)+1)y = x^(2),(c),(x^(2) + 1)^(2),),((iv),(x^(2)+1)(dy)/(dx)+4xy = lnx,(d),x^(2)+1,),(,,(e),(x^(3)+1)^((1)/(3)),),(,,(f),(x^(3)+1)^((1)/(2)),):}`
The correct matching is

A

i-d, ii-a, iii-b, iv-c

B

i-e, ii-a, iii-a, iv-c

C

i-e, ii-b, iii-c, iv-f

D

i-e, ii-a, iii-c, iv-d

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-DIFFERENTIAL EQUATIONS-Exercise - II
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  5. If the solution of cosec^(2)x(dy)/(dx) - (1)/(y) = 0 is ax + b sin 2x ...

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  6. Assertion (A) : Integrating factor of 1+(x tan y - sec)(dy)/(dx) = 0 i...

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  7. Assertion (A) : The differential equaiton of the family of rectangular...

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  8. Asserton (A) : The solution of (dy)/(dx) = (x+y)/(x) is e^(y//x) = cx ...

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  9. The solution of the differential equation (dy)/(dx) - 2y tan 2x = e^(x...

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  10. An integrating factor of the equation (1+y+x^(2)y)dx+(x+x^(3))dy=0 is

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  11. The solution of the differential equation (dy)/(dx) + (y)/(2) sec x = ...

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  12. The differential equation of co-axial system of circles x^(2) + y^(2) ...

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  13. The trajectories orthogonal to x^(2)+y^(2) = 2ax is

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  16. In a bank, principal increases continuously at the rate of 5% per yea...

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  20. If y = y (x) is the solution of the differential equation ((2 + sin x)...

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