What is the solution for (1-cos(x))((dy)/(dx))=ysin(x) ?

The solution for (1-cos(x))((dy)/(dx))=ysin(x) is y=e^{c_{1}}-e^{c_{1}}cos(x)

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(1-cos(x))((dy)/(dx))=ysin(x)

(1 - cos (x)) (\frac{d y}{d x}) = y sin (x)

y = e^{c_{1}} - e^{c_{1}} cos (x)

Solution steps

(1 - cos (x)) (\frac{d y}{d x}) = y sin (x)

Solve separable ODE:

y = e^{c_{1}} - e^{c_{1}} cos (x)

y = e^{c_{1}} - e^{c_{1}} cos (x)

y^{^{'}} (x) = \frac{4 + 3 x ^{2}}{3 y ^{2} - 12 y}, y (0) = 2

(y cos (x)) d x + (3 sin (x)) d y = 0

y^{5} \frac{d y}{d x} = 2 x^{4} y^{6} - 4 x^{4}

\frac{d y}{d x} = 4 x^{4} y

4 y - 5 x y^{^{'}} = 0

What is the solution for (1-cos(x))((dy)/(dx))=ysin(x) ?
The solution for (1-cos(x))((dy)/(dx))=ysin(x) is y=e^{c_{1}}-e^{c_{1}}cos(x)