# september 12

1. Solve linear ODE of 1st order:
1. $y’+y\tan{x}=\sec{x};$
2. $xy+e^x=xy’;$
3. $(xy’-1)\ln{x}=2y.$
2. Reduce the ODE to a linear one, and solve:
1. $(x+1)(y’+y^2)=-y;$
2. $xy^2y’=^2+y^3;$
3. $xyy’=y^2+x.$
3. Reduce order of the equation, and solve:
• $x^2y”=(y’)^2;$
• $(y’)^2+2yy”=0;$
• $y^3y”=1.$