Solve for G.S./P.S. for the following differential equations using the

kramtus51 2022-01-19 Answered
Solve for G.S./P.S. for the following differential equations using the solutions by a change in variables as suggested by the equations.
(t2et4x2)dt+8txdx=0
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Expert Answer

einfachmoipf
Answered 2022-01-19 Author has 32 answers
(t2et4x2)dt+8txdx=0
M=t2et4x2
N=8tx
Mx==8x
Nt=8x
MxNtN=16x8tx=2t
Integrating
e21tdt=e2lnt=1t2
M=et=4x2t2
N=8xt
Mx=8xt2
N1=8xt2
  Mx=Nt
(et4x2t2)dt+0dx=C
 et+4x2t=C
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