OCR C4 2007 January — Question 9

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2007
SessionJanuary
TopicDifferential equations

9
  1. Find the general solution of the differential equation $$\frac { \sec ^ { 2 } y } { \cos ^ { 2 } ( 2 x ) } \frac { d y } { d x } = 2$$
  2. For the particular solution in which \(y = \frac { 1 } { 4 } \pi\) when \(x = 0\), find the value of \(y\) when \(x = \frac { 1 } { 6 } \pi\).