In the two-tank, liquid-level system shown below, g is the inflow rate, R and R are...

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In the two-tank, liquid-level system shown below, g is the inflow rate, R₁ and R₂ are valve resistances, h, and h₂ are liquid levels, and q2 is the outflow rate. The governing equation for this system is derived as a second-order ODE relating the inflow and outflow rates: R₁CR₂C₂2+(R₁C₁ + R₂C₂ + R₂C₁)42 +92 = 9 Assume R₁C₁ = ₁, R₂C₂=2, and R₁ =3R₂. If q(t)= for 120, and initial conditions are zero, find 92 (1) for 120. Also find the steady-state value of q₂ (1). h₁ Capacitance C₂₁ R₁ H h₂ Capacitance C₂ 92 In the two-tank, liquid-level system shown below, g is the inflow rate, R₁ and R₂ are valve resistances, h, and h₂ are liquid levels, and q2 is the outflow rate. The governing equation for this system is derived as a second-order ODE relating the inflow and outflow rates: R₁CR₂C₂2+(R₁C₁ + R₂C₂ + R₂C₁)42 +92 = 9 Assume R₁C₁ = ₁, R₂C₂=2, and R₁ =3R₂. If q(t)= for 120, and initial conditions are zero, find 92 (1) for 120. Also find the steady-state value of q₂ (1). h₁ Capacitance C₂₁ R₁ H h₂ Capacitance C₂ 92