Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0 Subject to the Initial Condition P(x,y,0)=Φ(x,y)
- 1 February 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (2) , 667-668
- https://doi.org/10.1063/1.1665181
Abstract
A simple form of the solution to the differential equation ( ∂ 2 ∂x∂y +ax ∂ ∂x +by ∂ ∂y +cxy+ ∂ ∂t ) P=0 ,subject to the initial condition P(x,y,0)=Φ(x,y) ,is given.Keywords
This publication has 2 references indexed in Scilit:
- Closed-Form Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by ∂∂y+cxy+∂∂t)P=0 Subject to the Initial Condition P(x, y, t = 0) = Φ(x, y)Journal of Mathematical Physics, 1969
- Solution of the Differential Equation (∂2∂x∂y+ax∂∂x+by∂∂y+cxy+∂∂t)P=0Journal of Mathematical Physics, 1967