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Solve this diff. equation please
- Thread starter dcardeno
- Start date
D
Deleted member 4993
Guest
Hello friends, I can't solve this equation and would appreciate any help here
dy/dx=(y/x)*sin(y/x), with y(1/2)=Pi/4 using substitution u=y/x
u = y/x
dy/dx = x*du/dx + u
Then
x*du/dx + u = u * sin(u) with u(1/2) = π/2
Continue......
u = y/x
dy/dx = x*du/dx + u
Then
x*du/dx + u = u * sin(u) with u(1/2) = π/2
Continue......
Thank you for your answer. I had tried that before and then come to a diff. equation with the form:
du/(u*(sin(u)-1))=(1/x)*dx
I cant solve the integral in the u side. Even tried that with Mathematica and it couldnt either. Maybe I'm not approaching this exercise right. Can you help me further? Thanks
D
Deleted member 4993
Guest
Thank you for your answer. I had tried that before and then come to a diff. equation with the form:
du/(u*(sin(u)-1))=(1/x)*dx
I cant solve the integral in the u side. Even tried that with Mathematica and it couldnt either. Maybe I'm not approaching this exercise right. Can you help me further? Thanks
Why didn't you say that inyour original post?!
The integral on the LHS does not have any known closed-form solution. You may want to try "infinite series" solutions.