I am trying to find all the solutions for the following system:
This is typed into Mathematica as follows:
DSolve[{(VDC/(2*lrf))*
D[Ψ[irq, ird, isq, isd, igq, igd, VDC, iLq, iLd, Vcq,
Vcd, ωr, ωturb, δturb],
irq] - (3*irq/(2*C))*
D[Ψ[irq, ird, isq, isd, igq, igd, VDC, iLq, iLd, Vcq,
Vcd, ωr, ωturb, δturb], VDC] ==
0, (VDC/(2*lrf))*
D[Ψ[irq, ird, isq, isd, igq, igd, VDC, iLq, iLd, Vcq,
Vcd, ωr, ωturb, δturb],
ird] - (3*ird/(2*C))*
D[Ψ[irq, ird, isq, isd, igq, igd, VDC, iLq, iLd, Vcq,
Vcd, ωr, ωturb, δturb], VDC] ==
0}, Ψ[irq, ird, isq, isd, igq, igd, VDC, iLq, iLd, Vcq,
Vcd, ωr, ωturb, δturb], {irq, ird, isq, isd,
igq, igd, VDC, iLq, iLd, Vcq,
Vcd, ωr, ωturb, δturb}]
But still Dsolve does not give a solution to this system. The output I am getting is:
From observation it is easy to see that trivial solutions are: i_sd, i_sq, ωr, ωturb, δturb etc. But mathematica isnt giving these either..
Any help would be much appreciated
(V_DC/(2*l_rf))
? andi_rd
Does this look right for you? and do not use subscripts. They are terrible. Use normal variables. $\endgroup$ – Nasser Jun 8 '18 at 2:28\[...]
stuff in it. Also, you could delete the old wrong code as it is not needed $\endgroup$ – Nasser Jun 8 '18 at 4:18Maple
also, he can't solve. But equations give by userAkku14
can solve:)
.Solution is ${\it CapitalPsi} \left( {\it irq},{\it ird},{\it VDC} \right) ={\it _F1} \left( {\frac {C{{\it VDC}}^{2}+3\,{{\it ird}}^{2}{\it lrf}+3\,{ \it lrf}\,{{\it irq}}^{2}}{C}} \right) $ whereF1
is arbitary function. $\endgroup$ – Mariusz Iwaniuk Jun 8 '18 at 11:26