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The radium in a peace of lead decomposes at a rate which is proportional to the...

The radium in a peace of lead decomposes at a rate which is proportional to the amount present. if 10 percent of the radium decomposes in 200 years, what percent of the original amount of radium will be present in a piece of lead after 1000 years. the answer is 59.05%. I know how to find the answer. but I don't know how to find it using diffrential equation. PLEASE expalin every step and say why !

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Answer #1

Soution Vo→ initial value 9 yeons lox decompo.se hence Yemaining is 902 100 goot 0 APying both sides on lo 900 t ot 200 aft

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