The process of confirming the solution to a differential equation entails the replacement of the suggested solution back into the equation to examine its accuracy. If, after substitution and simplification, the equation's left-hand side matches the right-hand side, we can confirm that the proposed solution is accurate. Essentially, this process is a way to authenticate the legitimacy of the solution.
| Topic | Problem | Solution |
|---|---|---|
| None | Determine if the differential equation $y^{\prime… | The given differential equation is \(y^{\prime}=x e^{y}\). A differential equation is said to be se… |
| None | If $f^{\prime}(x)=c f(x), c \neq 0 \& f(x) \neq … | The problem is asking if the derivative of a function is proportional to the function itself, then … |