Maths with David

    9231. FP2. Differential Equations. Past Exam Questions

    9231/21/M/J/25q5

    Find the particular solution of the differential equation 6 \frac{d^2 x}{dt^2} + 3 \frac{dx}{dt} + 6x = e^{-t} , given that, when t = 0, x = \frac{dx}{dt} = 0 . [10 marks]

    9231/21/M/J/25q7

    Find the solution of the differential equation \frac{dy}{dx} - \frac{x+5}{x^2+10x+61} y = 1 given that y=0 when x=3. Give your answer in an exact form. [10 marks]