## Problem 04 | Determination of Integrating Factor

**Problem 04**

$y(4x + y)~dx - 2(x^2 - y)~dy = 0$

**Problem 04**

$y(4x + y)~dx - 2(x^2 - y)~dy = 0$

**Problem 03**

$y(2x - y + 1)~dx + x(3x - 4y + 3)~dy = 0$

**Problem 02**

$2y(x^2 - y + x)~dx + (x^2 - 2y)~dy = 0$

**Problem 01**

$(x^2 + y^2 + 1)~dx + x(x - 2y)~dy = 0$

**Problem 11**

$y(x^2 + y^2 - 1) \, dx + x(x^2 + y^2 + 1) \, dy = 0$

**Problem 06**

$y(y^2 + 1) \, dx + x(y^2 - 1) \, dy = 0$

**Problem 07**

$y(y^2 + 1) \, dx + x(y^2 - 1) \, dy = 0$

**Problem 05**

$y(x^4 - y^2) \, dx + x(x^4 + y^2) \, dy = 0$

**Problem 04**

$2t \, ds + s(2 + s^2t) \, dt = 0$

**Problem 03**

$(x^3y^3 + 1) \, dx + x^4y^2 \, dy = 0$

**Problem 02**

$y(y^3 - x) \, dx + x(y^3 + x) \, dy = 0$