How to change an symbolic equation into wanted form ?

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Guoyao.Li 2021 年 9 月 12 日

I want to change

into

, how should I make it by symbolic calculation ?

syms epsilon_r epsilon_re epsilon_theta epsilon_thetae beta r r0 c c0 k

eqn4=(epsilon_r-epsilon_re)/(epsilon_theta-epsilon_thetae)==-k*beta;

epsilon_re=0;epsilon_thetae=0;

eqn5=eval(eqn4);

assume(beta,'positive')

assume(k,'positive')

eqn6=simplify(int(r^(k*beta),r,[c r])==int(r0^(k*beta),r0,[c0 r0]));

syms a a0

eqn7=subs(eqn6,[r r0],[a a0])

eqn7 =

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