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Find the general solution of the differ...

Find the general solution of the differential equation `x(dy)/(dx)+2y=x^2(x!=0)`.

A

`y=(x^4+C)/x^2`

B

`y=(x^2+C)/(4x^2)`

C

`y=(x^4+C)/(4x^2)`

D

`y=x^2/4+C`

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
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  2. Solution of differential equation x(dy)/(dx)=y+x^2 is

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  3. Find the general solution of the differential equation x(dy)/(dx)+2y=...

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  4. y+x^2="dy"/"dx" has the solution

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  5. The solution of differential equation (1+y^(2))+(x-e^(tan^(-1)y))(dy...

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  6. The solution of (y-3x^2)dx +xdy=0 is

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  7. The solution of the equation (x-4y^3)"dy"/"dx"-y=0, (y gt 0) is

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  8. The solution of the differential equation y dx +(x +x^2 y) dy=0 is

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  9. The general solution of the DE (dy)/(dx) + (y)/(x) = x ^(2) is

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  10. The solution of differential equation cos x dy = y (sin x - y ) dx,...

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  11. The solution of the differential equation (xy^4 + y) dx-x dy = 0, is

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  12. The solution of (dy)/(dx) + y tan x = sec x is

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  13. The solution of the differential equation (dy)/(dx)+y/(x loge x)=1/x, ...

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  14. Let y(x) be the solution of the differential equation ( x log ...

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  15. Consider the differential equation y^2dx+(x-1/y)dy=0 if y(1)=1 then x ...

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  16. Let y(x) be a solution of (1+x^2)"dy"/"dx"+2xy-4x^2=0 and y(0)=-1 Th...

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  17. If x(t) is a solution of ((1+t)dy)/(dx)-t y=1 and y(0)=-1 then y(1)...

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  18. Solve the differential equation "dy=cos x(2-y cosec x)dx" given that y...

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  19. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  20. Let y=g(x) be the solution of the differential equation sin (dy)/(dx...

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