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The solution of (dy)/(dx) = (y+1)/(x+1) ...

The solution of `(dy)/(dx) = (y+1)/(x+1)` when y(1) =2, is

A

2x-y =0

B

`x^(2) + y^(2) =5`

C

3x + 2y -7=0

D

3x - 2y +1=0

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The solution of (dy)/(dx)+1 = e^(x+y) is

    A
    ` e^(-(x+y))+x+C=0`
    B
    ` e^((-x+y)) - x + C = 0 `
    C
    ` e^(x+y) + x+C = 0`
    D
    ` e^(x+y)- x + C = 0 `

  • The solution of (x+y+1)(dy)/(dx) = 1 is

    A
    ` y = (x+2)+Ce^(x)`
    B
    `y=-(x+2)+Ce^(x)`
    C
    `x=-(y+2)+Ce^(y)`
    D
    `x=(y+2)^(2)+Ce^(y)`

  • The solution of (dy)/(dx)=((y)/(x))^(1//3) , is

    A
    `x^(2//3)+y^(2//3)=C`
    B
    `x^(1//3)+y^(1//3)=C`
    C
    `y^(2//3)-x^(2//3)=C`
    D
    `y^(1//3)-x^(1//3)=C`

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    The solution of (dy)/(dx)=1/(2x-y^2) is given by

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