What is the solution for (dy)/(dx)+7y=y^2+12 ?

The solution for (dy)/(dx)+7y=y^2+12 is y=-(3e^{x+c_{1}})/(1-e^{x+c_{1)}}+4/(1-e^{x+c_{1)}}

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(dy)/(dx)+7y=y^2+12

\frac{d y}{d x} + 7 y = y^{2} + 12

y = - \frac{3 e ^{x + c_{1}}}{1 - e ^{x + c_{1}}} + \frac{4}{1 - e ^{x + c_{1}}}

Solution steps

\frac{d y}{d x} + 7 y = y^{2} + 12

Solve separable ODE:

y = - \frac{3 e ^{x + c_{1}}}{1 - e ^{x + c_{1}}} + \frac{4}{1 - e ^{x + c_{1}}}

y = - \frac{3 e ^{x + c_{1}}}{1 - e ^{x + c_{1}}} + \frac{4}{1 - e ^{x + c_{1}}}

What is the solution for (dy)/(dx)+7y=y^2+12 ?
The solution for (dy)/(dx)+7y=y^2+12 is y=-(3e^{x+c_{1}})/(1-e^{x+c_{1)}}+4/(1-e^{x+c_{1)}}