Math1XX3, Winter 2007
1. [6 marks] Find the solution to the differential equation dy = 6 y 2 sin( 2 x ) dx with the condition that y (0) = 1 / 6
2. [6 marks] Find the most general solution to the linear differential equation 1 xy + 6 y = x
McMaster Univer
Math1XX3, Winter 2007
1. [6 marks] Find the solution to the differential equation dy = 6 y 2 sin( 2 x ) dx with the condition that y (0) = 1 / 6
The differential equation is separable 1 y 2 dy = 6 sin(2 x)dx 1 = 3 cos(2 x) + c y 1 y= 3 cos(2 x) c Then, ap