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

The solution for (dy)/(dx)=7xcos^2(y) is y=arctan((7x^2)/2+c_{1})+pin

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(dy)/(dx)=7xcos^2(y)

\frac{d y}{d x} = 7 x cos^{2} (y)

y = arctan (\frac{7 x ^{2}}{2} + c_{1}) + πn

Solution steps

\frac{d y}{d x} = 7 x cos^{2} (y)

Solve separable ODE:

y = arctan (\frac{7 x ^{2}}{2} + c_{1}) + πn

y = arctan (\frac{7 x ^{2}}{2} + c_{1}) + πn

What is the solution for (dy)/(dx)=7xcos^2(y) ?
The solution for (dy)/(dx)=7xcos^2(y) is y=arctan((7x^2)/2+c_{1})+pin