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If y = y(x) is the solution of the diffe...

If y = y(x) is the solution of the differential equation, `x dy/dx+2y=x^2` satisfying y(1) = 1, then `y(1/2)` is equal to

A

`4/64`

B

`13/16`

C

`49/16`

D

`1/4`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The solution of the differential equation (dy)/(dx) + y = x is :

    A
    `e^(-x) (y - x+1) = c`
    B
    ` e^(-x) (x+y+1)=c`
    C
    `e^(x)(y+x+1)=c`
    D
    `e^(x) (y - x+1) = c`

  • The solution of the differential equation 2x (dy)/(dx)-y=3 represents

    A
    straight lines
    B
    circles
    C
    parabola
    D
    ellipse

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