When solving a differential equation, why do we always start with guessing the solution is exponential function?
66886
$e^{mx}$ in solving second order differential equations
34368
Problem when integrating $e^x / x$.
71465
solution of $y' = \exp \left(-\frac yx\right) + \frac yx$
157504
What type of differential equation is $f'(x) = f(x/2)$ and how do you solve it?
30695
Can I solve this differential equation at a point?
94585
Solving for a variable that's an exponent
57811
Properties of the solution of the Ordinary Differential Equation $y' = y(y-1)(y-2)$ as per the Initial conditions?
121109
Why does the Taylor expansion of $e^x$ satisfy exponential properties?
130211
Non-linear differential equation example
27960
Is there a name for function with the exponential property $f(x+y)=f(x) \cdot f(y)$?
55888
Why my differential equations become True?
53583
Why $e^x$ is always greater than $x^e$?
30120
Find solutions for an differential equation system
50206
Why should you never divide both sides by a variable when solving an equation?
55188
Second order ODE - why the extra X for the solution?
130154
How to get solution from DSolve
138766
Nondimensionalizing a differential equation