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Find the particular solution of the dif...

Find the particular solution of the differential equation `(1 + e^(2x))dy + (1 + y^(2))e^(x)dx = 0`, given that y = 1 when x = 0

Text Solution

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The correct Answer is:
`tan^(-1) y + tan^(-1)(e^(x)) = (pi)/(2)`
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Knowledge Check

  • The general solution of the differential equation e^(x) dy + (y e^(x) + 2x)dx = 0 is

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

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