What is the solution for (dx)/(dt)=7(x^2+1),x(pi/4)=1 ?

The solution for (dx)/(dt)=7(x^2+1),x(pi/4)=1 is x=tan(7t-(3pi)/2)

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(dx)/(dt)=7(x^2+1),x(pi/4)=1

\frac{d x}{d t} = 7 (x^{2} + 1), x (\frac{π}{4}) = 1

x = tan (7 t - \frac{3 π}{2})

Solution steps

\frac{d x}{d t} = 7 (x^{2} + 1)

Solve separable ODE:

x = tan (7 t - \frac{3 π}{2})

x = tan (7 t - \frac{3 π}{2})

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What is the solution for (dx)/(dt)=7(x^2+1),x(pi/4)=1 ?
The solution for (dx)/(dt)=7(x^2+1),x(pi/4)=1 is x=tan(7t-(3pi)/2)