WJEC Further Unit 4 2023 June — Question 9

Exam BoardWJEC
ModuleFurther Unit 4 (Further Unit 4)
Year2023
SessionJune
TopicFirst order differential equations (integrating factor)

9. Consider the differential equation $$( x + 1 ) \frac { \mathrm { d } y } { \mathrm {~d} x } + 5 y = ( x + 1 ) ^ { 2 } , \quad x > - 1$$ Given that \(y = \frac { 1 } { 4 }\) when \(x = 1\), find the value of \(y\) when \(x = 0\).