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

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

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

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

y = e^{2 t a n (x) + c_{1}} - 3

Solution steps

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

Solve separable ODE:

y = e^{2 t a n (x) + c_{1}} - 3

y = e^{2 t a n (x) + c_{1}} - 3

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