Solve the following simultaneous Differential equation * dy + 5x + 3y = 0 dt dx 3x + 2y, dt -

2. Use a full truth table to determine whether or not each of the following pairs of sentences are tautologically (TT) equivalent. Outline or highlight the truth values for the main operator of each sentence, and answer the questions below. (i) ¬(A→B) >>TT? Ал-В (ii) (PQ) → R OT? P➡ (Q➡R) (i) (ii) Are they TT equivalent? Is there a counter-example row? (Mark all such rows with a *.) Are they TT equivalent? Is there a counter-example row? (Mark all such rows with a *.)

solve the differential equation du/dt=35+7u+5t+ut

If you have the equation dx/dt = a,are you allowed to multiply both sides by dt to change the equation todx = dt (a)?