Final answer to the problem
$y=\frac{\sqrt{\pi }\mathrm{erf}\left(x\right)}{2}+C_0$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choisir une option
- Equation différentielle exacte
- Équation différentielle linéaire
- Équation différentielle séparable
- Equation différentielle homogène
- Produit de binômes avec terme commun
- Méthode FOIL
- Load more...
Can't find a method? Tell us so we can add it.
1
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
$dy=e^{-x^2}dx$
Learn how to solve problems step by step online.
$dy=e^{-x^2}dx$
Learn how to solve problems step by step online. dy/dx=e^(-x^2). 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. Apply the formula: dy=a\cdot dx\to \int1dy=\int adx, where a=e^{-x^2}. Solve the integral \int1dy and replace the result in the differential equation. Solve the integral \int e^{-x^2}dx and replace the result in the differential equation.
Final answer to the problem
$y=\frac{\sqrt{\pi }\mathrm{erf}\left(x\right)}{2}+C_0$
