What is the solution for 8x-5ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-10 ?

The solution for 8x-5ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-10 is y=-(2sqrt(4\sqrt{x^2+1)+121})/(sqrt(5))

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8x-5ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-10

8 x - 5 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = - 10

y = - \frac{2 4 x ^{2} + 1 + 121}{5}

Solution steps

8 x - 5 y x^{2} + 1 \frac{d y}{d x} = 0

Solve separable ODE:

y = - \frac{2 4 x ^{2} + 1 + 121}{5}

y = - \frac{2 4 x ^{2} + 1 + 121}{5}

(x tan (x)) d x - (y cos (x)) d y = 0

x^{^{'}} - a \cdot x = 0

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

y^{^{'}} = 0.01 y - 100, y (0) = 20000

(1 + x) d x + (e^{x} d x + e^{2 y} d y) (1 + x^{2}) = 0

What is the solution for 8x-5ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-10 ?
The solution for 8x-5ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-10 is y=-(2sqrt(4\sqrt{x^2+1)+121})/(sqrt(5))