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Find (dy)/(dx) if x = 2 e ^(-t) , y ...

Find `(dy)/(dx) ` if
` x = 2 e ^(-t) , y = 4e ^(t)`

Text Solution

Verified by Experts

The correct Answer is:
`2e ^(2l)`
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Knowledge Check

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

    A
    `e^(y) = e^(x) -1 + ce^(-e^(x))`
    B
    `e^(y) = e^(x) + 1 + ce^(-e^(x))`
    C
    `e^(y) = e^(x) -1 - ce^(-e^(x))`
    D
    `e^(y) = e^(x) -2 + ce^(-e^(x))`

  • The solution of (dy)/(dx) = e^(2x-y) + x^(3) e^(-y) is

    A
    `4e^(y) = 2e^(2x) -x^(4) + c`
    B
    `4e^(y) = 2e^(2x) + x^(4) - x^(2) + c`
    C
    `4e^(y) = 2e^(2x) + x^(4) + c`
    D
    `4e^(y) = 2e^(2x) - x^(4) + x^(2) = c`

  • If x log x (dy)/(dx)+ y= log x ^(2) and y (e) =0, then y (e ^(2)) =

    A
    0
    B
    1
    C
    `1/2`
    D
    `3/2`

    • Similar Questions

    Explore conceptually related problems

    Find (dy)/(dx) if x =a ((1- t ^(2))/( 1 + t ^(2))), y = (2 bt)/(1 + t ^(2)).

    Find (dy)/(dx) if x =a ( cos t + t sin t ), y = a ( sin t - t cos t).

    Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t lt (pi)/(2) .

    (dy)/(dx) + 3y = e^(-2x)

    Solve (dy)/(dx)= e^(x-y) + x^2 e^(-y) .

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