What is the solution for y/x*(dy)/(dx)=-4-(y^2)/(x^2) ?

The solution for y/x*(dy)/(dx)=-4-(y^2)/(x^2) is y=(sqrt(-2x^4+c_{1)})/x ,y=-(sqrt(-2x^4+c_{1)})/x

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y/x*(dy)/(dx)=-4-(y^2)/(x^2)

\frac{y}{x} \cdot \frac{d y}{d x} = - 4 - \frac{y ^{2}}{x ^{2}}

y = \frac{- 2 x ^{4} + c _{1}}{x}, y = - \frac{- 2 x ^{4} + c _{1}}{x}

Solution steps

\frac{y}{x} \cdot \frac{d y}{d x} = - 4 - \frac{y ^{2}}{x ^{2}}

Solve Bernoulli ODE:

y = \frac{- 2 x ^{4} + c _{1}}{x}, y = - \frac{- 2 x ^{4} + c _{1}}{x}

y = \frac{- 2 x ^{4} + c _{1}}{x}, y = - \frac{- 2 x ^{4} + c _{1}}{x}

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

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

y = x^{3} - 2 x + 2, (3, 23)

y^{^{''}} + 6 y^{^{'}} + 25 y = 0

\frac{d}{d x} (1 + 7 sin (x) - tan (x))

What is the solution for y/x*(dy)/(dx)=-4-(y^2)/(x^2) ?
The solution for y/x*(dy)/(dx)=-4-(y^2)/(x^2) is y=(sqrt(-2x^4+c_{1)})/x ,y=-(sqrt(-2x^4+c_{1)})/x