Finding the functional form of the Green Function for a parabolic diff eq.
111597
Product of 2 dirac delta functions
52620
Solve the pde $u_t(x,t)=u_{xx}(x,t)-bu(x,t)+q(t)$ for $u(x,t)$
52701
Manipulating Partial Derivatives of Inverse Function
32209
Labeling solutions of an Eigenvalue equation involving Bessel functions
142436
Solving a PDE with variable coefficients
27812
Understanding the differential $dx$ when doing $u$-substitution
37337
Minimizing a functional with a free boundary condition
121197
Eigenvalues and eigenfunctions of the exponential potential $ V(x)=\exp(|x|) $
4199
Evans PDE Problem 5.15: Poincaré inequality for functions with large zero set
59235
Finding eigenvalues of a differential operator
86182
Calculate integral $\int_\gamma y\,dx + x^2\,dy$ with Green's Theorem
99532
Mathematical precise definition of a PDE being elliptic, parabolic or hyperbolic
154508
The energy method for $u_{tt}-du_t-u_{xx}=0, (0,1)\times(0,T) $
48271
Method of characteristics for Burgers' equation with rectangular data
22768
Solving a double integration in parametric form
9924
Derivative of conjugate multivariate function
47168
PDE separation of variables