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answered solution of 1st order PDE
2d
comment solution of 1st order PDE
$u=0$ is also a solution
Aug
15
answered solution of variable coefficient equation
Aug
13
answered Solution for PDE $f f_x$ = a $f_t$ + b
Jul
27
comment Do we have a inverse Laplace transform of $\frac{1}{\arctan s}$
Since $\lim\limits_{s\to+\infty}\dfrac{1}{\arctan s}=\dfrac{2}{\pi}$ , its inverse Laplace transform should be $\dfrac{2\delta(t)}{\pi}$ adding with something.
Jul
19
revised A differential equation I
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Jul
19
answered A differential equation I
Jul
18
revised Solution of Second Order Differential Equation with non-constant coeffecient
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Jul
18
revised Solution of Second Order Differential Equation with non-constant coeffecient
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Jul
14
answered general solution function using Method of Characteristics
Jul
12
answered Help with method of characteristics question.
Jul
10
awarded  Revival
Jul
5
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?