Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Differential Equations question

2019 · 11 Jan · Shift 2 · Q37
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Differential Equations
  5. /2019 · 11 Jan · Shift 2 · Q37

Differential Equations question

2019 · 11 Jan · Shift 2 · Q37

JEE MainMathematicsDifferential EquationsMCQ+4 / −1
The solution of the differential equation, dydx{{dy} \over {dx}}dxdy​ = (x – y)2, when y(1) = 1, is :
  1. A
    −-− loge ∣1+x−y1−x+y∣\left| {{{1 + x - y} \over {1 - x + y}}} \right|​1−x+y1+x−y​​= x + y −-− 2
  2. B
    loge ∣2−x2−y∣\left| {{{2 - x} \over {2 - y}}} \right|​2−y2−x​​= x −-− y
  3. C
    loge ∣2−y2−x∣\left| {{{2 - y} \over {2 - x}}} \right|​2−x2−y​​= 2(y −-− 1)
  4. D
    −-− loge ∣1−x+y1+x−y∣\left| {{{1 - x + y} \over {1 + x - y}}} \right|​1+x−y1−x+y​​= 2(x −-− 1)
PreviousNext

More from Differential Equations

  • Consider the differential equation, y2dx+(x−y1​)dy=0, If value of y is 1 when x = 1, then the value of x for which y = 2, is :2019 · MCQ
  • The general solution of the differential equation (y2 – x3)dx – xydy = 0 (x e 0) is : (where c is a constant of integration)2019 · MCQ
  • Let y = y(x) be the solution of the differential equation, x dxdy​+ y = x loge x, (x > 1). If 2y(2) = loge 4 − 1, then y(e) is equal to :2019 · MCQ
  • If a curve passes through the point (1, –2) and has slope of the tangent at any point (x, y) on it as xx2−2y​, then the curve also passes through the point :2019 · MCQ
  • Let y = y(x) be the solution of the differential equation dxdy​+2y=f(x), where f(x)={1,0,​x∈[0,1]otherwise​…2018 · MCQ
  • The curve satifying the differeial equation, (x2 − y2) dx + 2xydy = 0 and passing through the point (1, 1) is :2018 · MCQ
  • Let y = y(x) be the solution of the differential equation sinxdxdy​+ycosx=4x, x∈(0,π). If y(2π​)=0, then y(6π​) is equal to :2018 · MCQ
  • The curve satisfying the differential equation, ydx −(x + 3y2)dy = 0 and passing through the point (1, 1), also passes through the point :2017 · MCQ