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Differential Equations question

2022 · 27 Jul · Shift 1 · Q33
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  5. /2022 · 27 Jul · Shift 1 · Q33

Differential Equations question

2022 · 27 Jul · Shift 1 · Q33

JEE MainMathematicsDifferential EquationsMCQ+4 / −1
Let y=y1(x)y=y_{1}(x)y=y1​(x) and y=y2(x)y=y_{2}(x)y=y2​(x) be two distinct solutions of the differential equation dydx=x+y\frac{d y}{d x}=x+ydxdy​=x+y, with y1(0)=0y_{1}(0)=0y1​(0)=0 and y2(0)=1y_{2}(0)=1y2​(0)=1 respectively. Then, the number of points of intersection of y=y1(x)y=y_{1}(x)y=y1​(x) and y=y2(x)y=y_{2}(x)y=y2​(x) is
  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    3
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