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Solution of the differential equation x(...

Solution of the differential equation `x(dy)/(dx)+2y=x^(2)logx` is

A

`y=(x^(2))/(4)log x +x^(2)+cx^(2)`

B

`y=(x^(2))/(4) log x +(x^(2))/(4)+c x^(-2)`

C

`y=(x^(2))/(4)log x -(x^(2))/(16)+cx^(-2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-DIFFERENTIAL EQUATIONS-Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Solution of the differential equation (dy)/(dx) +y cot x =2 cos x ...

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  2. Solution of the differential equation (1+y^(2))dx =(tan^(-1)y-x)dy...

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  3. Solution of the differential equation (1+x^(2)) (dy)/(dx)+y=tan^(-1)x...

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  4. Solution of the differential equation 2y sin x (dy//dx)=2 sin x cos ...

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  5. The Solution of the equation (dy)/(dx)+2y=sin x is

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  6. The Solution of the equation (dy)/(dx)+y tan x =sec x is

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  7. The Solution of the equation x log x (dy)/(dx) +y = 2 log x is

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  8. Solution of the differential equation x(dy)/(dx)+2y=x^(2)logx is

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  9. The Solution of the equation (1+x^(2)) (dy)/(dx)+2xy -4x^(2)=0

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  10. The solution of differential equation (dy)/(dx)-3y= sin 2x is

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  11. The solution of the equation (dy)/(dx)+3y=cos^(2)x is

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  12. The gradient of the curve passing through (4,0) is given by (dy)/(dx) ...

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  13. Solution of the differential equation sin2x (dy)/(dx) -y=tan x is

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  14. The Solution of the differential equation (dy)/(dx) +(1)/(x)tan y =(1...

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  15. Solution of the equation (dy)/(dx) = e^(x-y) (e^(x)-e^(y)) is equal t...

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  16. If y(t) is solution of (t+1)(dy)/(dt) -ty =1, y(0)= -1. At t = 1 the s...

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  17. The solution of differential equation (dy)/(dx)(x^(2)y^(3)+xy) =1 is...

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  18. The solution of the differential equation (dy)/(dx)-(x log x)/(1+log...

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  19. If (dy)/(dx)+Py=Q where P and Q are functions of x alone then integrat...

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  20. Let f(x) be differentiable on the interval (0,oo) such that f(1)=1 and...

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