Internal problem ID [9055]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 3, linear third order
Problem number: 1476.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {27 y^{\prime \prime \prime }-36 y^{\prime } \WeierstrassP \left (x , \mathit {g2} , \mathit {g3}\right ) n^{2}-2 n \left (n +3\right ) \left (4 n -3\right ) \WeierstrassPPrime \left (x , \mathit {g2} , \mathit {g3}\right ) y=0} \end {gather*}
✗ Solution by Maple
dsolve(27*diff(diff(diff(y(x),x),x),x)-36*n^2*WeierstrassP(x,g2,g3)*diff(y(x),x)-2*n*(n+3)*(4*n-3)*WeierstrassPPrime(x,g2,g3)*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-2*n*(3 + n)*(-3 + 4*n)*y[x]*Derivative[1][phi][x] - 36*n^2*WeierstrassP[x, {g2, g3}]*y'[x] + 27*Derivative[3][y][x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved