I am trying to solve and integrate differential equation, but I am not sure am I on the right way, my original equation is: $$ dz=-(r-z(r-1))^4d(p_0p_1)-8(r-z(r-1))^3 dp_0$$ where $r=const$. If I use replacement $t=r-z(r-1)$, I got $dz=-\dfrac{dt}{r-1}$, and according to that: $$ -\dfrac{dt}{r-1}=-t^4d(p_0p_1)-8t^3dp_0 $$ I don`t know how to integrate this equation, how to put everything with term $t$ on one side of equation, how to separate them? Or how to do that on other way?
2026-04-26 13:17:01.1777209421
Is it possible separate variables in equation?
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