A-Level MathematicsYear 2021Q2
4 2. The variables x and y satisfy the differential equation d d d d 2 2 2 15 3 2 y x y x y x + − = where y = 1 at x = 0 and where y = 2 at x = 0.1 Use the approximations d d and d d 2 2 1 1 2 2 y x y y y h y x n n n n n − + ( ) + − ≈ ≈ y y h n n + − − ( ) 1 1 2 with h = 0.1 to find an estimate for the value of y when x = 0.3 (6) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:8FM0_21_que_20211008.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)