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

The solution for (dy)/(dx)+y*sqrt(1+x^2)=0 is y=sqrt(-e^{-x\sqrt{1+x^2)+c_{1}}(x-sqrt(1+x^2))}

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(dy)/(dx)+y*sqrt(1+x^2)=0

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

y = - e^{- x 1 + x^{2} + c_{1}} (x - 1 + x^{2})

Solution steps

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

Solve separable ODE:

y = - e^{- x 1 + x^{2} + c_{1}} (x - 1 + x^{2})

y = - e^{- x 1 + x^{2} + c_{1}} (x - 1 + x^{2})

What is the solution for (dy)/(dx)+y*sqrt(1+x^2)=0 ?
The solution for (dy)/(dx)+y*sqrt(1+x^2)=0 is y=sqrt(-e^{-x\sqrt{1+x^2)+c_{1}}(x-sqrt(1+x^2))}