Exercise
$\frac{dy}{dx}=\frac{y\cos\left(2x\right)}{\sin\left(2x\right)}$
Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Solve the differential equation dy/dx=(ycos(2x))/sin(2x). 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{\cos\left(2x\right)}{\sin\left(2x\right)}dx. 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}{y}dy and replace the result in the differential equation.
Solve the differential equation dy/dx=(ycos(2x))/sin(2x)
Final answer to the exercise
$y=C_1\sqrt{\sin\left(2x\right)}$