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Which of the following equation is linea...

Which of the following equation is linear ?

A

`(dy)/(dx)+xy^2=1`

B

`x^2(dy)/(dx)+y=e^x`

C

`(dy)/(dx)+3y=xy^2`

D

`x(dy)/(dx)+y^2=sin x `

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -CRITICAL THINKING
  1. If y'=(x-y)/(x+y) , then its solution is

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  2. Which of the following equation is non-linear ?

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  3. Which of the following equation is linear ?

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  4. Integrating factor of the equation (x^2+1)"dy"/"dx"+2xy=x^2-1 is

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  5. The integrating factor of the differential equation (dy)/(dx)(x(log...

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  6. The integrating factor of the differential equation (1-x^(2))(dy)/(d...

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  7. An integrating factor of the differential equation x(dy)/(dx) +y l...

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  8. The integrating factor of (1+y^(2)) dx = (tan^(-1)y-x) dy is -

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  9. The solution of the differential equation (dy)/(dx)+2ycotx=3x^2cosec^2...

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  10. The solution of "dy"/"dx"+2ytan x =sin x is

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  11. The solution of the equation dy/dx=1/(x+y+1) is

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  12. The solution of the differential equation x"dy"/"dx"+y=x^2 +3x +2 is

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  13. The solution of the differential equation xlogx(dy)/(dx)+y=2logx is

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  14. The solution of the differential equation (dy)/(dx) +(3x^(2))/(1+x...

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  15. Solution of the differential equation (dy)/(dx)+ysec^2 x = tan x sec^2...

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  16. Solution of the equation (x+2y^3)(dy)/(dx)-y=0 , (y > 0) is

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  17. Solution of the equation (x+log y ) dy + y dx =0 is

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  18. The integrating factor of the differential equation (dy)/(dx)=y tan x-...

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  19. The solution of the differential equation x(dy)/(dx) = 2y + x^(3)e^(x...

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  20. If x dy =y (dx+y dy), y(1) =1and Y(x)gt 0. Then, y (-3) is epual to

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