What is the solution for (dy)/(dx)=-x/y ,y(4)=3 ?

The solution for (dy)/(dx)=-x/y ,y(4)=3 is y=sqrt(-x^2+25)

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(dy)/(dx)=-x/y ,y(4)=3

\frac{d y}{d x} = - \frac{x}{y}, y (4) = 3

y = - x^{2} + 25

Solution steps

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

Solve separable ODE:

y = - x^{2} + 25

y = - x^{2} + 25

\frac{d y}{d x} = e^{8 x} + 13 y

x \to \frac{π}{3} lim (\frac{2 cos ^{2} ( x ) + 3 cos ( x ) - 2}{2 cos ( x ) - 1})

f (x) = x^{- \frac{1}{3}}

\int e^{5 x + 4} d x

\int \frac{1 + x}{x} d x

What is the solution for (dy)/(dx)=-x/y ,y(4)=3 ?
The solution for (dy)/(dx)=-x/y ,y(4)=3 is y=sqrt(-x^2+25)