X(dy/dx) + (1+x)y = e^(-x) sin(2x)
What I have so far is I have divided by X so I can make it a linear equation. I get:
(dy/dx) + ((1+x)/x)y = (e^(-x) sin(2x)) / x
Then I use P(x) = (1+x)/x = S (1+x)/x dx = lnx + x.
looking for the integrating factor I get: x + e^x
The I plug in: Y (x + e^x) = S (x + e^x)*((e^(-x) sin(2x)) / x)
The problem is that when I try to integrate this I get an integral back, Im stuck integrating S (sin(2x)) / x dx.
Thank you!
What I have so far is I have divided by X so I can make it a linear equation. I get:
(dy/dx) + ((1+x)/x)y = (e^(-x) sin(2x)) / x
Then I use P(x) = (1+x)/x = S (1+x)/x dx = lnx + x.
looking for the integrating factor I get: x + e^x
The I plug in: Y (x + e^x) = S (x + e^x)*((e^(-x) sin(2x)) / x)
The problem is that when I try to integrate this I get an integral back, Im stuck integrating S (sin(2x)) / x dx.
Thank you!