What is the solution for 11x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=9 ?

The solution for 11x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=9 is y=sqrt((11\sqrt{x^2+1)+232)/3}

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11x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=9

11 x - 6 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 9

y = \frac{11 x ^{2} + 1 + 232}{3}

Solution steps

11 x - 6 y x^{2} + 1 \frac{d y}{d x} = 0

Solve separable ODE:

y = \frac{11 x ^{2} + 1 + 232}{3}

y = \frac{11 x ^{2} + 1 + 232}{3}

y = (\frac{2}{( 2 x - 6 ) \frac{3}{2}})

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What is the solution for 11x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=9 ?
The solution for 11x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=9 is y=sqrt((11\sqrt{x^2+1)+232)/3}