Edexcel FP2 2004 June — Question 7

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2004
SessionJune
TopicFirst order differential equations (integrating factor)

  1. (a) Find the general solution of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + 2 y = x$$ Given that \(y = 1\) at \(x = 0\),
(b) find the exact values of the coordinates of the minimum point of the particular solution curve,
(c) draw a sketch of this particular solution curve.