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

The solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=2 is y=sqrt((11\sqrt{x^2+1)-3)/2}

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

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

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

Solution steps

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

Solve separable ODE:

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

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

What is the solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=2 ?
The solution for 11x-4ysqrt(x^2+1)y^'=0,y(0)=2 is y=sqrt((11\sqrt{x^2+1)-3)/2}