Which of the following equations is of the type 𝑦 = 𝑥 𝑑 𝑦 / 𝑑 :: 𝑥 + 𝑓 𝑑 𝑦 /𝑑 𝑥 ?
- d 2 y d x 2 and d y d x ,
- dy /dx =x+f
- y=xdy /dx +f
- dy /dx =x dy /dx+f
Explanation
The equation of the type can be identified by comparing it to the differential equation form:
In this form, the equation involves both the second derivative and the first derivative with coefficients and respectively.
Therefore, among the options provided, the equation that fits this type is:
This equation indicates a relationship where is expressed as a combination involving both and , with coefficients and respectively.
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