Transform the given differential equation into an equivalent system of first-order differential equations. ²x" - 6x² + (1 -t²) x = 0 Let x₁ = x and x₂ = x'. Complete the system below. x₁' = 7 x₂ = 0

Form a differential equation by eliminating the arbitrary constant a and b from the equation y = ax² 2bx

Which of the following systems of differential equations would dictate the rates of change of the salt concentration for the two-tank system shown below? 10 L/min 70 g/L VAL 14 L/min I 6 L/min OC A/= (1/VA) (10 × 70 + 6cg - 14CA), c_l= (1/V₂) (14c. – 16c) OC Al= (1/VA) (70 – 6cв - 14CA), CB= (1/VB) (14CA - 16CB) 16св) VB L C Al= (1/VA) (14CA CB/= (1/VB) (14CA - 16CB) 10 × 70 – 6cß), C Al= (1/VA) (10 × 70+ 16cB - 14CA), CB/= (1/VB) (14CA 10CB) 10 L/min