with boundary conditions: i got this problem when doing question about diffusion equation. they give the answer : but i just dont know how to get that?
Follow Math Help Forum on Facebook and Google+
Originally Posted by szpengchao with boundary conditions: i got this problem when doing question about diffusion equation. they give the answer : but i just dont know how to get that? Your differential equation admits the following exact solution so you can use reduction of order to reduce it to first order (which is separable) giving rise to error functions and exponentals.
Originally Posted by szpengchao with boundary conditions: i got this problem when doing question about diffusion equation. they give the answer : but i just dont know how to get that? Use the Laplace transform
Originally Posted by danny arrigo Your differential equation admits the following exact solution so you can use reduction of order to reduce it to first order (which is separable) giving rise to error functions and exponentals. can u make it more clear? i still cant get the point
Originally Posted by szpengchao can u make it more clear? i still cant get the point Sure, if taking derivatives gives . Substituting into your equation gives Expanding gives If you let then a separable equation for . Separate and integrate, replace H with G' and integrate again.
View Tag Cloud