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The second-order ordinary differential equation y^('')+f(x)y^'+y=0.

The ordinary differential equation y^'=-y(1+kappa(x)y)/(1-kappa(x)y).

h_t+(|h|^nh_(xxx))_x=0, where h(x,t) is the height of a film at position x and time t and n is a parameter characteristic of the surface forces.

The second-order ordinary differential equation y^('')-[(m(m+1)+1/4-(m+1/2)cosx)/(sin^2x)+(lambda+1/2)]y=0.

A partial derivative of second or greater order with respect to two or more different variables, for example f_(xy)=(partial^2f)/(partialxpartialy). If the mixed partial ...

The second-order ordinary differential equation y^('')+alpha(x)y^'+x^2y^n=0.

A technically defined group characterizing a system of linear differential equations y_j^'=sum_(k=1)^na_(jk)(x)y_k for j=1, ..., n, where a_(jk) are complex analytic ...

Partial differential equation boundary conditions which give the normal derivative on a surface.

The second-order ordinary differential equation satisfied by the Neumann polynomials O_n(x).

Solutions to holomorphic differential equations are themselves holomorphic functions of time, initial conditions, and parameters.