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comment An inverse Mellin transform
Hint: $\int_0^\infty x^s\sin ax~dx=a^{-s-1}\Gamma(s+1)\cos\dfrac{\pi s}{2}$ , according to eqworld.ipmnet.ru/en/auxiliary/inttrans/FourSin2.pdf
Jul
2
awarded  Revival
Jun
30
awarded  Revival
Jun
28
answered Laplace transform and IVP at $\infty$
Jun
28
comment Solving $u_y + (1-2u)\cdot u_x = 0$ using characteristic equations
@ImPact Although the general solution is of the form $u=F(x+(2u-1)y)$ , the constant-type condition leads the function only possible to be the constant-type function.
Jun
27
answered Riemann problem of Burgers equation with source term
Jun
27
answered Solving $u_y + (1-2u)\cdot u_x = 0$ using characteristic equations
Jun
17
answered Are all IVP's and BVP´s essentially eigenvalue/eigenfunctions problems?
Jun
16
answered A linear recursion with power coefficient
Jun
16
answered General solution of laplace equation
Jun
15
answered Inhomogeneous Wave Equation Derivation
Jun
15
revised partial differential equations , first order help
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Jun
15
answered Partial differential equation solution $x u_x + y u_y = \frac{1}{\cos u}$
Jun
15
revised partial differential equations , first order help
deleted 83 characters in body
Jun
15
answered partial differential equations , first order help
Jun
14
answered Quasilinear equation and their properties.
Jun
14
answered Questions--Heat equation with $x>0,t>0$
Jun
13
answered Question on partial differential equation
Jun
12
revised Necessary and sufficient condition for separation of variables to give all solutions.
added 22 characters in body; added 16 characters in body
Jun
12
answered What is required for a pde to be solvable by separation of variables?