Recent content by tiaborrego
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MHB Integrating Factor: Solve x ln(x) dy/dx = xe^x
Ok, so I think I get it now. So I solved for I I= e^{x} and thus, the general solution is: y(x)=e^x/ln[x] + c/ln[x]- tiaborrego
- Post #7
- Forum: Differential Equations
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MHB Integrating Factor: Solve x ln(x) dy/dx = xe^x
So, I tried the u substitution again, and this time I got: (1/x)*e^{-1/x^2} for I. Is this right? My process: u = ln(x) du= 1/x dx I= e^{1/u*du} = e^{ln(u)*du} =e^{ln[ln(x)]*1/x} =(1/x)*e^{-1/x^2}- tiaborrego
- Post #5
- Forum: Differential Equations
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MHB Integrating Factor: Solve x ln(x) dy/dx = xe^x
Ok, so I think I found the u substitution. I think it is: u= x* ln[x] du = 1+ ln[x] dx Therefore, I(x)=e^ln[x*ln(x)] = x* ln[x] Is this right?- tiaborrego
- Post #3
- Forum: Differential Equations
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MHB Integrating Factor: Solve x ln(x) dy/dx = xe^x
How do you solve x ln(x) dy/dx = xe^x using the integrating factor? So far, I have put it into standard form. dy/dx + y/(xln(x))=xe^x/(x(ln(x))- tiaborrego
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- Replies: 7
- Forum: Differential Equations