OCR C4 2012 June — Question 4

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2012
SessionJune
TopicDifferential equations

4 Solve the differential equation $$\mathrm { e } ^ { 2 y } \frac { \mathrm {~d} y } { \mathrm {~d} x } + \tan x = 0 ,$$ given that \(x = 0\) when \(y = 0\). Give your answer in the form \(y = \mathrm { f } ( x )\).