What is the solution for (dx)/(dt)=x^2-6x+14 ?

The solution for (dx)/(dt)=x^2-6x+14 is x=tan(sqrt(5)(t+c_{1}))sqrt(5)+3

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(dx)/(dt)=x^2-6x+14

\frac{d x}{d t} = x^{2} - 6 x + 14

x = tan (5 (t + c_{1})) 5 + 3

Solution steps

\frac{d x}{d t} = x^{2} - 6 x + 14

Solve separable ODE:

x = tan (5 (t + c_{1})) 5 + 3

x = tan (5 (t + c_{1})) 5 + 3

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What is the solution for (dx)/(dt)=x^2-6x+14 ?
The solution for (dx)/(dt)=x^2-6x+14 is x=tan(sqrt(5)(t+c_{1}))sqrt(5)+3