Exercise
$xdx+e^{3x}dy=0$
Step-by-step Solution
Learn how to solve multiplication of numbers problems step by step online. Solve the differential equation xdx+e^(3x)dy=0. Grouping the terms of the differential equation. 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 y, and the right side with respect to x. Taking the constant (-1) out of the integral.
Solve the differential equation xdx+e^(3x)dy=0
Final answer to the exercise
$y=\frac{3x+1}{9e^{3x}}+C_0$