A certain radioactive material is known to decay at a rate proportional to the amount present....
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A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 100 mg of the material present and after two years it is observed that 5% of the original mass has decayed, find: a) an expression for the mass remaining at any time t. b) the time necessary for 10% of the original mass to have decayed. 7. Solve the following initial-value problem: y" +16y = 0: y(0) = 2 : y(0) =-8 8. Given the differential equation y" -4y +4y 0 with known solution y: =e Create a second solution from the first by the Reduction of Order formula. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 100 mg of the material present and after two years it is observed that 5% of the original mass has decayed, find: a) an expression for the mass remaining at any time t. b) the time necessary for 10% of the original mass to have decayed. 7. Solve the following initial-value problem: y" +16y = 0: y(0) = 2 : y(0) =-8 8. Given the differential equation y" -4y +4y 0 with known solution y: =e Create a second solution from the first by the Reduction of Order formula.
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Posted Date:
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