Mathematics (AS & A Level) · Feb / March 2019 · Paper 32 · Question 6
9709
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The variables x and y satisfy the differential equation dy dx = ky3e−x, where k is a constant. It is given that y = 1 when x = 0, and that y = e when x = 1. Solve the differential equation, obtaining an expression for y in terms of x. [7] 9
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