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Engineering Maths · Q63

Differential Equations

Engineering and GATE · Engineering Maths · question 63

Q63

Biotransformation of an organic compound having concentration (x) can be modeled using an ordinary differential equation dx dt + k x^2 = 0, where k is the reaction rate constant. If x = a at t = 0, the solution of the equation is

Biotransformation of an organic compound having concentration (x) can be modeled using an ordinary differential equation   where k is the reaction rate constant. If x = a at t = 0, the solution of the equation is
A.
x = ae-kt
B.
Answer
C.
x = a(1 - e-kt)
D.
x = a + kt

Answer: Option B

Solution

Answer: Option B
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