An integrating factor of the differential equation 1 -&

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 Multiple Choice QuestionsMultiple Choice Questions

291.

The differential equation of all straight lines passing through the point (1, - 1), is

  • y = x + 1dydx + 1

  • y = x + 1dydx - 1

  • y = x - 1dydx + 1

  • y = x - 1dydx - 1


292.

Integrating factor of differential equation cosxdydx + ysinx = 1 is

  • cosx

  • tanx

  • secx

  • sinx


293.

The order and degree of the differential equation d2ydx2 + dydx13 + x14 = 0 are respectively

  • 2, 3

  • 3, 3

  • 2, 6

  • 2, 4


294.

The general solution of the differential equation ydx + (1 + x2) tan- 1(x)dy = 0, is

  • ytan-1x = c

  • xtan-1y = c

  • y + tan-1x = c

  • x + tan-1y = c


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295.

Solution of differential equation dydx = 2xy is

  • y = cex2

  • y2 = 2x2 + c

  • y = ce- x2

  • y = x2 + c


296.

The second order differential equation is

  • y' + x = y2

  • y'y'' + y = sin(x)

  • y''' + y'' + y = 0

  • y' = y


297.

The solution of the differential equation dydx - yx = 1 is

  • x2loge(x) + y = c

  • xloge(x) + cx = y

  • x2loge(x) - y = c

  • xloge(x) + y = cx


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298.

An integrating factor of the differential equation 1 - x2dydx - xy = 1, is

  • - x

  • x1 - x2

  • 1 - x2

  • 12log1 - x2


C.

1 - x2

The given differential equation is      1 - x2dydx - xy = 1 dydx - x1 - x2y = 11 - x2which is a linear differential equation.Here, P = - x1 - x2   IF = ePdx = e122x1 - x2dx           = e12log1 - x2           = 1 - x2


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299.

Solve dydxtany = sinx + y + sinx - y

  • secx - 12tany = c

  • logsinx + y = c

  • secx + tany = c

  • secy + 2cosx = c


300.

Find the differential equation of curves y = Aex + Be-x fordifferent values of A and B

  • d2ydx2 - 2y = 0

  • d2ydx2 = y

  • d2ydx2 = 4y + 3

  • d2ydx2 + y = 0


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