Assignment I
Tuesday, February 8, 2021 6:28 PM
Submit Before:18-02-21
Note: Write Name and ID on each page with red Ink
verify that the given differential equation is exact; then solve it.
1- \left(x^3 + \frac{y}{x}\right)dx + \left(y^2 + \ln x\right)dy = 0
2- \left(1 + ye^{xy}\right)dx + \left(2y + xe^{xy}\right)dy = 0
3- \left(\cos x + \ln y\right)dx + \left(\frac{x}{y} + e^y\right)dy = 0
4- \left(x + \tan^{-1} y\right)dx + \frac{x + y}{1 + y^2}dy = 0