What is the solution for (dy)/(dx)= x/y ,y=2,x=1 ?

The solution for (dy)/(dx)= x/y ,y=2,x=1 is y=sqrt(x^2+3)

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(dy)/(dx)= x/y ,y=2,x=1

\frac{d y}{d x} = \frac{x}{y}, y = 2, x = 1

y = x^{2} + 3

Solution steps

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

Solve separable ODE:

y = x^{2} + 3

y = x^{2} + 3

3 y^{2} \frac{d y}{d x} = (5 x)

y^{^{'}} = \frac{- 2 y + x y}{x ^{2}}

\frac{d y}{d x} = \frac{( y + 3 ) ( x - 1 )}{( y - 2 ) ( x + 4 )}

\frac{d y}{d x} y = \frac{5}{cos ( x )} + \frac{1}{tan ( x )}

\frac{1}{2} \frac{d y}{d t} + 10 y = 12, y (0) = 0

What is the solution for (dy)/(dx)= x/y ,y=2,x=1 ?
The solution for (dy)/(dx)= x/y ,y=2,x=1 is y=sqrt(x^2+3)