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Differential Equations question

2023 · 13 Apr · Shift 1 · Q27

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JEE Main
Mathematics
Differential Equations
2023 · 13 Apr · Shift 1 · Q27

Differential Equations question

2023 · 13 Apr · Shift 1 · Q27

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y=y_{1}(x)

and

y=y_{2}(x)

be the solution curves of the differential equation

\frac{d y}{d x}=y+7

with initial conditions

y_{1}(0)=0

and

y_{2}(0)=1

respectively. Then the curves

y=y_{1}(x)

and

y=y_{2}(x)

intersect at

A
no point
B
two points
C
infinite number of points
D
one point

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