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The partial differential equation u_t=Du_(xx)+u-u^2.

The system of partial differential equations S_t=SxS_(xx).

The system of partial differential equations U_t=U·U_(xx)+U·LambdaU.

The partial differential equation u_(tt)-u_(xx)-u+u^3=0.

The partial differential equation u_(tt)-u_(xx)=epsilon(u_t-u_t^3).

The partial differential equation u_t+u_x-6uu_x-u_(txx)=0.

The partial differential equation u_(yy)=yu_(xx).

The Benney equation in 1+1 dimensions is the nonlinear partial differential equation ...

The scalar form of Laplace's equation is the partial differential equation del ^2psi=0, (1) where del ^2 is the Laplacian. Note that the operator del ^2 is commonly written ...

The partial differential equation u_t=del ·[M(u)del ((partialf)/(partialu)-Kdel ^2u)].