JEE Main 202225 Jul, Evening shiftMathematicsMediumDifferential Equations163× since 2002Let y=y(x)y=y(x)y=y(x) be the solution of the differential equation dydx=4y3+2yx23xy2+x3,y(1)=1\frac{d y}{d x}=\frac{4 y^{3}+2 y x^{2}}{3 x y^{2}+x^{3}}, y(1)=1dxdy=3xy2+x34y3+2yx2,y(1)=1. If for some n∈N,y(2)∈[n−1,n)n \in \mathbb{N}, y(2) \in[n-1, n)n∈N,y(2)∈[n−1,n), then nnn is equal to _____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
