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

\frac{d}{d x} (\frac{1}{2 x + 8})

y^{^{''}} - 8 y^{^{'}} + 15 y = 2 e^{3 x}

e^{x}, x e^{x}, [0, 1]

\frac{\partial}{\partial x} (a ln (x) + b ln (y))

(t - 2)^{3}

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