Given that no-5 and dv(0)/dt-10, solve-it2t) + 6U-30 e-tu (t). + 5 -t 2t V(t) is...
solve Question 6: Given that v(0) = 2 and dv(0)/dt = 4, solve the following second-order differential equation d- du ( +54 + 60 = 10e-'u(t) dt 4 marks
If u(t) = sin(2t), cos(2t), t and v(t) = t, cos(2t), sin(2t) , use Formula 5 of this theorem to find d dt u(t) × v(t) .
Starting with an expression for U(S.V), show that m(V) = (dU/dV)T is given by Tt(v)= (dp/dT)V-P.
dx dt 1. For the circuit below determine: a) The initial conditions: iz(0+), dix(0*), v(0+), dv(0+) b) The circuit differential equation and solve for iz(t), t 2 0 (No credit for Transform techniques) ix VI 102 422 + lo 5+10u(t) 10 H 1/4 F V
Consider three functions x(t), v(), and at), such that dx dt dv - alt) dt The function ) is given by )-. What is a(2)? (2)29 If x(0)29, what is x(3)? x(3)
di Solve + 2 d. + 5i = 10 if i (0) = 4 and di(0) dt = -2 dt2 i(t) is calculated as + e-*cos(2t) ] u(t) A.
The click to select options are "cos" or "sin". Thank you Solve oppy dt2 + 4y = 12 if v (0) = 0, dv(O) dt = = 2. + v(t) is calculated as (Click to select) (2t - 1°) ] u(t) V.
Solve the given integral equation or integro-differential equation for y(t). V'(t)+125] (t-v)/(v) dv=5t, y) = 0 125 ſe-vrye y()=
Starting with an expression for U(S,V) , show that π(v) = (dU/dV)T is given by π(v)= (dp/dT)V - p .
Given the first order equation describing the circuit... 4(dv/dt)+v=10 Find the time constant Find the final value of the voltage If v(0)=2 the function describing v(t) for all time.