What is the solution for 7x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=6 ?

The solution for 7x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=6 is y=sqrt((7\sqrt{x^2+1)+65)/2}

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7x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=6

7 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 6

y = \frac{7 x ^{2} + 1 + 65}{2}

Solution steps

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

Solve separable ODE:

y = \frac{7 x ^{2} + 1 + 65}{2}

y = \frac{7 x ^{2} + 1 + 65}{2}

What is the solution for 7x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=6 ?
The solution for 7x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=6 is y=sqrt((7\sqrt{x^2+1)+65)/2}