Solve log(x+y)*dx+(3y^2+2y+cos(x+y))dy

$$\log ( x + y ) \cdot d x + ( 3 y ^ { 2 } + 2 y + \cos ( x + y ) ) d y$$

Factor

$$d\left(y\left(\cos(x+y)+y\left(3y+2\right)\right)+x\log_{10}\left(x+y\right)\right)$$

Solution Steps

Factor out d.

$$d\left(x\log_{10}\left(x+y\right)+\left(3y^{2}+2y+\cos(x+y)\right)y\right)$$

Evaluate

$$d\left(y\left(\cos(x+y)+y\left(3y+2\right)\right)+x\log(x+y)\right)$$