How to solve differential equation $f'(x) = f(x) - f(x-1) $ with $f(0)= 0$
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When $f(x+1)-f(x)=f'(x)$, what are the solutions for $f(x)$?
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A calculus problem with functions such that $f''(x) = g(x)$ and $g''(x) = f(x)$
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Solving of a seperable differential equation
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$f(0)=0$ and $\lim_{x \to \infty}f(x)=0$. Show there's $x_0$ such that $f'(x_0)=0$
132108
How to solve differential equation $y=xy'+\frac12y'^2$
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$f$ is constant if derivative equals zero
21339
IF $f(x) = \int_{0}^{\phi (x)} g(t) dt$, How could we find $f'(x)$?
67158
Solve $y'-\int_0^xy(t)dt=2$
107727
$m\{x\in [0,1]:f'(x)=0\}>0$
14656
The differential equation $xu_{x}+yu_{y}=2u$ satisfying the initial condition $y=xg(x),u=f(x)$
17154
Does a non-trivial solution exist for $f'(x)=f(f(x))$?
131570
Solve differential equation, $x'=x^2-2t^{-2}$
64339
Find $f$ where $f'(x) = f(1+x)$
10068
$f(x,y)= e^{-\frac{1}{x^2+y^2}}$ when $(x,y)\neq (0,0)$ and $f(0,0)=0$.
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Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$
60396
How to Solve the Coupled Differential Equations?
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Find $f(1)$ from equation $\int_{0}^{x}f(t)dt = x+\int_{x}^{1}tf(t)dt$