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Differential Equations question

2022 · 25 Jul · Shift 2 · Q41

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JEE Main
Mathematics
Differential Equations
2022 · 25 Jul · Shift 2 · Q41

Differential Equations question

2022 · 25 Jul · Shift 2 · Q41

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

Let

y=y(x)

be the solution of the differential equation

\frac{d y}{d x}=\frac{4 y^{3}+2 y x^{2}}{3 x y^{2}+x^{3}}, y(1)=1

. If for some

n \in \mathbb{N}, y(2) \in[n-1, n)

, then

n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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