Question: Partial differential equation

Can someone help me on how to solve the following pde for G

Eq1 := ((z[1]-1)*lambda+(z[3]-1)*gamma)*G+(1-z[1])*delta*(diff(G, z[1]))+(N*z[3]-z[2])*kappa*(diff(G, z[2]))+(1-z[3])*mu*(diff(G, z[3]))+(z[2]-z[1]*z[3])*beta*(diff(diff(G, z[3]), z[1])) = diff(G, t)

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