What is the solution for 10-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=2 ?

The solution for 10-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=2 is y=sqrt((10ln(\sqrt{x^2+1)+x)+12)/3}

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10-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=2

10 - 6 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 2

y = \frac{10 ln ( x ^{2} + 1 + x ) + 12}{3}

Solution steps

10 - 6 y x^{2} + 1 \frac{d y}{d x} = 0

Solve separable ODE:

y = \frac{10 ln ( x ^{2} + 1 + x ) + 12}{3}

y = \frac{10 ln ( x ^{2} + 1 + x ) + 12}{3}

What is the solution for 10-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=2 ?
The solution for 10-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=2 is y=sqrt((10ln(\sqrt{x^2+1)+x)+12)/3}