Let y=f(x) be the particular solution to the differential equation dy/dx=(3x^2−1)/2y with the initial condition f(1)=4 .Which of the following is an expression for f(x) ?

f(x) = √(x^3-x) +4

Step-by-step explanation:

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here is an solution

Using separation of variables, it is found that the expression is:

The differential equation is:

Hence:

Since f(1) = 4:

Hence, the expression is:

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no, x cannot be the same number. in all of them, x is 1. for one input there is another output. g is not a function

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step-by-step explanation: