4. y = c¿e*+ C2e2x + Cze*

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A:

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A: Introduction: Let us suppose that an autonomous differential equation y'=f(y) and y=a is an…

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Q: (a) (c) -2+ m (b) (d) V₁ 2m -2+ y(t)-graphs for Exercise 3. UzMz

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A: Answer is given in the picture

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A: The given problem is to solve the given ordinary differential equation with given initial condition.

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A: Differential equation

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A: The general solution of the differential equation.

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A: Given, x2+y2dx+xy dy=0

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A: Consider the given equation:

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A: given

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A: Topic:- differential equations

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A: We are given the differential equation y'=|y|. For (a), Here,                y'x1+x2=yx1+x2…

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A: First, we separate the variables

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A: As we know that when the roots of the characteristic equation are real and distinct then the…

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A: Given that, The fish population P(t) (in millions) in a large fish farm where 2 million fishes are…

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A: The solution of the problem is given in the next step.

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A:

Q: An animal population N(t) is modeled by the differential equation = 0.00005N(N – 200).If N(0)=A,…

A: For the solution of the problem follow the next step.

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A: Consider the given differential equation.

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