What is the solution for 11x-8ysqrt(x^2+1)(dy)/(dx)=0,y(0)=3 ?

The solution for 11x-8ysqrt(x^2+1)(dy)/(dx)=0,y(0)=3 is y=(sqrt(11\sqrt{x^2+1)+25})/2

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11x-8ysqrt(x^2+1)(dy)/(dx)=0,y(0)=3

11 x - 8 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 3

y = \frac{11 x ^{2} + 1 + 25}{2}

Solution steps

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

Solve separable ODE:

y = \frac{11 x ^{2} + 1 + 25}{2}

y = \frac{11 x ^{2} + 1 + 25}{2}

y^{^{'}} = 1 - x + y - x y, y (0) = 0

5 y^{^{'}} = y cos (x), y (0) = 2

\frac{d v}{d t} = 9.81 - 3 v

y^{^{'}} = x y^{2} sin (x^{2})

\frac{d v}{d t} = 2 - 4 v

What is the solution for 11x-8ysqrt(x^2+1)(dy)/(dx)=0,y(0)=3 ?
The solution for 11x-8ysqrt(x^2+1)(dy)/(dx)=0,y(0)=3 is y=(sqrt(11\sqrt{x^2+1)+25})/2