What is the solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=10 ?

The solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=10 is y=sqrt((11\sqrt{x^2+1)+189)/2}

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11x-4ysqrt(x^2+1)y^'=0,y(0)=10

11 x - 4 y x^{2} + 1 y^{^{'}} = 0, y (0) = 10

y = \frac{11 x ^{2} + 1 + 189}{2}

Solution steps

11 x - 4 y x^{2} + 1 y^{'} (x) = 0

Solve separable ODE:

y = \frac{11 x ^{2} + 1 + 189}{2}

y = \frac{11 x ^{2} + 1 + 189}{2}

\int (5 x^{2} + 3) d x

\frac{d}{d x} (\frac{cos ( x )}{sin ^{2} ( x )})

x \to 0 lim (x \cdot e^{\frac{1}{x}} - 1)

\frac{d y}{d x} = \frac{y ( ln ( 5 y ) - ln ( 5 x ) + 7 )}{7 x}

\frac{d}{d x} (\frac{2 + x}{1 - x})

What is the solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=10 ?
The solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=10 is y=sqrt((11\sqrt{x^2+1)+189)/2}