What is the solution for (dy)/(dx)=(x(y-2))/(x^2+4),y(1)=5 ?

The solution for (dy)/(dx)=(x(y-2))/(x^2+4),y(1)=5 is y=(3sqrt(x^2+4)}{e^{\frac{ln(5))/2}}+2

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(dy)/(dx)=(x(y-2))/(x^2+4),y(1)=5

\frac{d y}{d x} = \frac{x ( y - 2 )}{x ^{2} + 4}, y (1) = 5

y = \frac{3 x ^{2} + 4}{e ^{\frac{l n ( 5 )}{2}}} + 2

Solution steps

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

Solve separable ODE:

y = \frac{3 x ^{2} + 4}{e ^{\frac{l n ( 5 )}{2}}} + 2

y = \frac{3 x ^{2} + 4}{e ^{\frac{l n ( 5 )}{2}}} + 2

\frac{\partial}{\partial x} (\frac{e ^{x}}{y + x ^{2}})

x \to 1 lim (\frac{x}{x - 3})

x \to 2 lim (\frac{4}{x - 2})

\frac{d}{d x} ((6 x^{2} - 9 x) e^{x})

t \to 0 lim (e^{- 2 t})

What is the solution for (dy)/(dx)=(x(y-2))/(x^2+4),y(1)=5 ?
The solution for (dy)/(dx)=(x(y-2))/(x^2+4),y(1)=5 is y=(3sqrt(x^2+4)}{e^{\frac{ln(5))/2}}+2