Solve functional equation $(x+y)(f(x)-f(y))=f(x^2)-f(y^2)$
37976
Find all functions $f$ such that $(x+y)f(x)+f(y^2)=(x+y)f(y)+f(x^2)$
23465
When $f(x+1)-f(x)=f'(x)$, what are the solutions for $f(x)$?
136475
d'Alembert-like functional equation: $f(x+y)+g(x-y)=\lambda f(x)g(y)$
114861
equation $\frac{\frac{1}{x^2}-\frac{1}{y^2}}{\frac{1}{x^2}+\frac{1}{y^2}}$
44670
Find all functions $f: \mathbb Z \to \mathbb Z$ such that $f(x+y)=f(x)+f(y)$
85917
Solve $(x+1)^y-x^z=1$
146719
Functional equation $f(r \cos \varphi)+f(r \sin \varphi)=f(r)$
131223
How to solve the equation $yy''-y'y^2-(y')^2$?
13248
How to obtain $f(x)$, if it is known that $f(f(x))=x^2+x$?
4178
Solve $f(x)f(2x^2) = f(2x^3+x)$
106038
Burgers' equation $u_y + uu_x = 0$ with $u(x,0)=-x$
79212
Find the general solution of $y'= a^{x + y}$ where y is the function
144090
How to solve the functional equation $f\left(x^2+f(y)\right)=y+f(x)^2$
151519
If $f(f(x))=x^2-x+1$, what is $f(0)$?
125788
A function with a property $f(x+y)=f(x)f(y)$
104278
Finding function $f(x)$ which satisfy given functional equation
109942
Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$