What is the solution for (dy)/(dx)(sin(pi)x+cos(pi)y)^2=2 ?

The solution for (dy)/(dx)(sin(pi)x+cos(pi)y)^2=2 is y=\sqrt[3]{6x+c_{1}}

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(dy)/(dx)(sin(pi)x+cos(pi)y)^2=2

\frac{d y}{d x} (sin (π) x + cos (π) y)^{2} = 2

y = 3 6 x + c_{1}

Solution steps

\frac{d y}{d x} (sin (π) x + cos (π) y)^{2} = 2

Solve separable ODE:

y = 3 6 x + c_{1}

y = 3 6 x + c_{1}

x^{2} y - 3 x y^{^{'}} + 4 y = 0

(x^{2} + 1) y^{^{'}} = x y ln (y)

\frac{d y}{d x} = (2 y)

\frac{4}{x} + \frac{\frac{d y}{d x}}{2 y} = 0

2 y^{2} e^{x y^{2}} d x + 2 x y e^{x y^{2}} d y = 0

What is the solution for (dy)/(dx)(sin(pi)x+cos(pi)y)^2=2 ?
The solution for (dy)/(dx)(sin(pi)x+cos(pi)y)^2=2 is y=\sqrt[3]{6x+c_{1}}