Let y be a function of x. Which of the

pogonofor9z 2022-01-20 Answered
Let y be a function of x. Which of the following is a first order linear differential equation?
1.yx=y2sin(x)
2.yx=ysin(x)
3.(y)2+y=tan(2x)
4.y=y2ex
5.(y)2+y=ex
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Expert Answer

Edward Patten
Answered 2022-01-20 Author has 38 answers
The possible differential equations for the first order linear differential equation are:
1.yx=y2sin(x)
2.yx=ysin(x)
3.(y)2+y=tan(2x)
4.y=y2ex
5.(y)2+y=ex
The general form of the first order linear differential equation is
y+q(x)y=p(x)      (1)
The differential equations given in options (a), (c), (d) and (c) are not of the form as the differential equation given in equation (1).
So, the first order linear differential equation is given by
yx=ysin(x)
Hence, option (b) is correct.
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soanooooo40
Answered 2022-01-21 Author has 35 answers

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