Stark

Stark

Find the values of 𝑒(π‘₯,𝑑) satisfying the parabolic equation 𝑒𝑑 = 4𝑒π‘₯π‘₯

Find the values of 𝑒(π‘₯,𝑑) satisfying the parabolic equation 𝑒𝑑 = 4𝑒π‘₯π‘₯ and the boundary conditions 𝑒(0,𝑑) = 0 = 𝑒(8,0) and 𝑒(π‘₯,0) = 4π‘₯ βˆ’ π‘₯2/2 at the points π‘₯ = 𝑖 ∢ 𝑖 = 0,1,2,…,8 and 𝑑 =…

Classify the following partial differential equations

Classify the following partial differential equations (i) 𝑒π‘₯π‘₯ + 4𝑒π‘₯𝑦 + 4𝑒𝑦𝑦 βˆ’ 𝑒π‘₯ + 2𝑒𝑦 = 0(ii) π‘₯2𝑒π‘₯π‘₯ + (1 βˆ’ 𝑦2)𝑒𝑦𝑦 = 0 ,βˆ’1 < 𝑦 < 1 (iii) (1 + π‘₯2)𝑒π‘₯π‘₯ + (5 + 2π‘₯2)𝑒π‘₯𝑑 + (4…