What is the solution for 11x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=8 ?

The solution for 11x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=8 is y=sqrt((11\sqrt{x^2+1)+117)/2}

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11x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=8

11 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 8

y = \frac{11 x ^{2} + 1 + 117}{2}

Solution steps

11 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0

Solve separable ODE:

y = \frac{11 x ^{2} + 1 + 117}{2}

y = \frac{11 x ^{2} + 1 + 117}{2}

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What is the solution for 11x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=8 ?
The solution for 11x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=8 is y=sqrt((11\sqrt{x^2+1)+117)/2}