What is the solution for (dy)/(dx)=(3+y)^2 ?

The solution for (dy)/(dx)=(3+y)^2 is y=-1/(x+c_{1)}-(3x)/(x+c_{1)}-(3c_{1})/(x+c_{1)}

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(dy)/(dx)=(3+y)^2

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

y = - \frac{1}{x + c _{1}} - \frac{3 x}{x + c _{1}} - \frac{3 c _{1}}{x + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{x + c _{1}} - \frac{3 x}{x + c _{1}} - \frac{3 c _{1}}{x + c _{1}}

y = - \frac{1}{x + c _{1}} - \frac{3 x}{x + c _{1}} - \frac{3 c _{1}}{x + c _{1}}

t \to \infty lim (800 - 800 t^{- 1})

g (x) = \frac{1}{x + 1}

\int_{0}^{\frac{π}{2}} 2 sin (2 x) d x

\int 7 x^{7} (x^{8} + 4)^{6} d x

f (x) = 7 x sin (π x)

What is the solution for (dy)/(dx)=(3+y)^2 ?
The solution for (dy)/(dx)=(3+y)^2 is y=-1/(x+c_{1)}-(3x)/(x+c_{1)}-(3c_{1})/(x+c_{1)}