Final answer to the problem
$y=2\arctan\left(\frac{x+C_1}{x+C_0}\right)$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve trigonometric integrals problems step by step online. Solve the differential equation dy/dx=2-2sin(y). Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{2-2\sin\left(y\right)}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{2\left(1-\sin\left(y\right)\right)}dy and replace the result in the differential equation.
Final answer to the problem
$y=2\arctan\left(\frac{x+C_1}{x+C_0}\right)$
