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- Thread starter WesleyJA81
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vela

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[tex]\frac{\gamma}{\gamma-1}\left(\frac{p}{\rho}-\frac{p_1}{\rho_1}\right)-\frac{1}{2}\left(\frac{1}{\rho_1}+\frac{1}{\rho}\right)(p-p_1)=q[/tex]

If you let x=1/ρ, you can write the equation as

[tex]\frac{\gamma}{\gamma-1}\left(xp(x)-\frac{p_1}{\rho_1}\right)-\frac{1}{2}\left(\frac{1}{\rho_1}+x\right)(p(x)-p_1)=q[/tex]

Differentiate that equation with respect to x and solve for p'(x).

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