Hi, I have two related differential equations. I tried to solve them via DSolve but it gave me errors. Can you help me plz? These are the differential equations (the last boundary condition is equal to 0 also suppose F* ,q* and K* are variables)
Also this is my code
DSolve can solve if : z1 = z2 = z
Executed on Mathematica 13.1:
DSolve[{v1''''[z] + f v1''[z] + k v1[z] - q == 0, v2''''[z] + f v2''[z] == q, v1[0] == q/k, v1'[0] == 0, v1[a1] == v2[0], v1'[a] == v2'[0], v1''[a] == v2''[0], v1'''[a] == v2'''[0], v2''[a2] == 0}, {v1[z], v2[z]}, z] (*A very very long answer.....See attached file.*)
differential equations.nb (2.02 MB)