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Let dy/dx = (yQ'(x)-y^(2))/Q(x) where Q(...

Let `dy/dx = (yQ'(x)-y^(2))/Q(x)` where `Q(x)` is a specified function satisfying `Q(1) = 1and Q(4) = 1296. `
Integrating factor is -

A

`log Q (x) `

B

`1/x`

C

`Q(x)`

D

`1/(log Q(x))`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Linear differental equation of the form dy/dx + Py = Q where P, Q are functions of x or costants and the coefficient of dy/dx = 1 . Taking e^(int P dx) as Integrating factor the above form reduces to d/dx(ye^(int Pdx))= Qe ^(intPdx). Solution of the equation dy/dx + 2 y tan x = x sin x given y = 0 when x = pi/3 is -

    A
    `y = cos x - 2cos^(2) x`
    B
    `y = sin x - 2 sin ^(2) x`
    C
    `y = cos x - 2 sin ^(2) sin^(2) x`
    D
    `y = sin x - 2 cos ^(2) x`

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