Let y=y₁(x) and y=y₂(x) be two distinct solutions of the differential equation (d y)/(d x)=x+y, with y₁(0)=0 and y₂(0)=1 respectively. Then, the number of points of intersection of y=y₁(x) and y=y₂(x) is

Differential Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Morning shift · Q3549

JEE Main 202227 Jul, Morning shiftMathematicsMediumDifferential Equations163× since 2002

Let

y=y_{1}(x)

and

y=y_{2}(x)

be two distinct solutions of the differential equation

\frac{d y}{d x}=x+y

, with

y_{1}(0)=0

and

y_{2}(0)=1

respectively. Then, the number of points of intersection of

y=y_{1}(x)

and

y=y_{2}(x)

JEE Main 2022 · 27 Jul, Morning shift · Q3549

JEE Main 202227 Jul, Morning shiftMathematicsMediumDifferential Equations163× since 2002

Let

y=y_{1}(x)

and

y=y_{2}(x)

be two distinct solutions of the differential equation

\frac{d y}{d x}=x+y

, with

y_{1}(0)=0

and

y_{2}(0)=1

respectively. Then, the number of points of intersection of

y=y_{1}(x)

and

y=y_{2}(x)