What is the solution for y(dy)/(dx)=-x ?

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

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y(dy)/(dx)=-x

y \frac{d y}{d x} = - x

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

Solution steps

y \frac{d y}{d x} = - x

Solve separable ODE:

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

y = - x^{2} + c_{1}, y = - - x^{2} + c_{1}

\int cos^{3} (\frac{x}{2}) sin^{2} (\frac{x}{2}) d x

t^{2} + 1

y = sec (x) - 6 cos (x)

y = x^{8} + 7 x^{6} - 5 x + 4

\frac{d}{d x} (sin^{2} (x - 1))

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