Exercise
$\frac{dy}{dx}=\frac{\left(-2xy-x\right)}{e^{x^2}}$
Step-by-step Solution
Learn how to solve classify algebraic expressions problems step by step online. Solve the differential equation dy/dx=(-2xy-x)/(e^x^2). Factoring by x. 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}{-2y-1}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 differential equation dy/dx=(-2xy-x)/(e^x^2)
Final answer to the exercise
$y=\frac{C_2e^{\frac{1}{e^{\left(x^2\right)}}}-1}{2}$