First-order forced equation y'-y=e^x and why the trial solution gains a factor x (Q1663)
Jump to navigation
Jump to search
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | First-order forced equation y'-y=e^x and why the trial solution gains a factor x |
No description defined |
Statements
y'-y=e^{x}:\\qquad y_{c}=C\\,e^{x};\\qquad y_{p}=A\\,x\\,e^{x}\\ \\Rightarrow\\ y_{p}'-y_{p}=A\\,e^{x}=e^{x}\\ \\Rightarrow\\ A=1;\\qquad y=C\\,e^{x}+x\\,e^{x}
0 references