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a) Solve the differential equation dy C+ xy = x°y°, y(0) = 2 dx and write the solution in term of constant c. b) The concentration of a certain substance, x(mg/L) over time t(hours) is represented by dx = -kx, dt where k is a constant. The initial concentration of 15mg/L decreases 50% in 5 hours. Find the time taken for the concentration to be 10% of its initial concentration.

a) Solve the differential equation dy C+ xy = x°y°, y(0) = 2 dx and write the solution in term of constant c. b) The concentration of a certain substance, x(mg/L) over time t(hours) is represented by dx = -kx, dt where k is a constant. The initial concentration of 15mg/L decreases 50% in 5 hours. Find the time taken for the concentration to be 10% of its initial concentration.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Solve the differential equation dy c + xy = x'y°, y(0) = 2 dx and write the solution in term of constant c. b) The concentration of a certain substance, x(mg/L) over time t(hours) is represented by dx = -kx, dt where k is a constant. The initial concentration of 15mg/L decreases 50% in 5 hours. Find the time taken for the concentration to be 10% of its initial concentration.
Transcribed Image Text:a) Solve the differential equation dy c + xy = x'y°, y(0) = 2 dx and write the solution in term of constant c. b) The concentration of a certain substance, x(mg/L) over time t(hours) is represented by dx = -kx, dt where k is a constant. The initial concentration of 15mg/L decreases 50% in 5 hours. Find the time taken for the concentration to be 10% of its initial concentration.
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