This subject is DIFFERENTIAL EQUATION. SOLVE THE FOLLOWING APPLICATION PROBLEMS 2. The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that there are 400 bacteria present. After 10 hours there are 2000 bacteria present. What was the initial number of bacteria?

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A: Use substitution method to solve this integration.

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A: We will find the integration.

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A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

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A: tan2θ-3secθ=-3⇒tan2θ-3secθ+3=0⇒2+sec2θ-3secθ=0⇒secθ=2, secθ=1⇒θ=π3+2πn, θ=5π3+2πn, θ=2πn

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A: I am attaching image so that you understand each and every step.

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A: To form the differential equation for the given function.

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A: We to integrate the given integration.

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Q: Г(81)

A: I am attaching image so that you understand each and every step.