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How to plug in and solve for algebraic equation?

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Meet Koradia
Meet Koradia 2022-5-13
回答： Sam Chak 2022-5-13
For example this

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回答（2 个）

KSSV
KSSV 2022-5-13
Ran in:
t = linspace(0,1) ;
z = 15*(1+(4.1*0.064)/1000*(15/150)^(2/3)*t.^(5/3)).^(-3/2) ;
plot(t,z)
  1 个评论
KSSV
KSSV 2022-5-13
Ran in:
syms z t
eqn = z == 15*(1+(4.1*0.064)/1000*(15/150)^(2/3)*t.^(5/3)).^(-3/2) ;
s = solve(eqn,t)
Warning: Solutions are only valid under certain conditions. To include parameters and conditions in the solution, specify the 'ReturnConditions' value as 'true'.
s = 

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Sam Chak
Sam Chak 2022-5-13
Hi @Meet Koradia
The idea is to reverse the equality in z, and then isolate t to the left-hand side. You can solve this algebra problem by hand and obtain:

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