What is the solution for 10x-8y*sqrt(x^2+1)(dy)/(dx)=0,y(0)=4 ?

The solution for 10x-8y*sqrt(x^2+1)(dy)/(dx)=0,y(0)=4 is y=sqrt((5\sqrt{x^2+1)+27)/2}

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10x-8y*sqrt(x^2+1)(dy)/(dx)=0,y(0)=4

10 x - 8 y \cdot x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 4

y = \frac{5 x ^{2} + 1 + 27}{2}

Solution steps

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

Solve separable ODE:

y = \frac{5 x ^{2} + 1 + 27}{2}

y = \frac{5 x ^{2} + 1 + 27}{2}

f (x) = \frac{( x - 5 )}{( x + 3 ) ^{4}}

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What is the solution for 10x-8y*sqrt(x^2+1)(dy)/(dx)=0,y(0)=4 ?
The solution for 10x-8y*sqrt(x^2+1)(dy)/(dx)=0,y(0)=4 is y=sqrt((5\sqrt{x^2+1)+27)/2}