What is the solution for (dy)/(dt)=y^2+k ?

The solution for (dy)/(dt)=y^2+k is y=sqrt(k)tan(sqrt(k)t+c_{1})

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(dy)/(dt)=y^2+k

\frac{d y}{d t} = y^{2} + k

y = k tan (k t + c_{1})

Solution steps

\frac{d y}{d t} = y^{2} + k

Solve separable ODE:

y = k tan (k t + c_{1})

y = k tan (k t + c_{1})

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x \to 1 lim (ln (x^{2} - 1))

\frac{1}{s ^{2} + 3 s}

x \to π - lim ((x + π) csc (x))

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

What is the solution for (dy)/(dt)=y^2+k ?
The solution for (dy)/(dt)=y^2+k is y=sqrt(k)tan(sqrt(k)t+c_{1})