(*Rešenje obične DJ*)
solution1 = DSolve[x'[t]==x[t]+2*t-3, x[t], t]

(*Košijevo rešenje*)
solution2 = DSolve[{x'[t]==x[t]+2*t-3, x[0]==2}, x[t], t]

(*Još jedna DJ*)
solution3 =DSolve[t*x'[t]-2*t*Sqrt[x[t]] == 4*x[t], x[t], t]

(*Uprošćavanje*)
solution4 = FullSimplify[solution3]

(*Sistem DJ*)
solution5  = FullSimplify[DSolve[{x'[t] == y[t]-z[t], y'[t]==x[t]^2+y[t], z'[t] == x[t]^2+z[t]}, {x[t], y[t], z[t]}, t]]

(*Bez FullSimplify*)
solution6 = DSolve[{x'[t] == y[t]-z[t], y'[t]==x[t]^2+y[t], z'[t] == x[t]^2+z[t]}, {x[t], y[t], z[t]}, t]