Final answer to the problem
Step-by-step Solution
Specify the solving method
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
Learn how to solve differential equations problems step by step online.
$\frac{e^{2y}-y}{e^y}dy=\frac{\sin\left(2x\right)}{\cos\left(x\right)}dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation (e^(2y)-y)cos(x)dy/dx=e^ysin(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. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{e^{2y}-y}{e^y}dy and replace the result in the differential equation. Solve the integral \int\frac{\sin\left(2x\right)}{\cos\left(x\right)}dx and replace the result in the differential equation.